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Finding the Fourth Proportional to 2,332.63, 3,498.25 and 689.14

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Solution

The fourth proportional to 2,332.63, 3,498.25 and 689.14 is: 1,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.63 : 3,498.25 = 689.14 : x
  2. Step 2: Convert to fraction form
    2,332.63/3,498.25 = 689.14/x
  3. Step 3: Cross multiply
    2,332.63x = 3,498.25 × 689.14
  4. Step 4: Simplify right side
    2,332.63x = 2,410,784.01
  5. Step 5: Solve for x
    x = 2,410,784.01/2,332.63
  6. Step 6: Final answer
    x = 1,033.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,333.63, 3,499.75 and 690.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.