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Finding the Fourth Proportional to 2,230.06, 3,344.97 and 691.02

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Solution

The fourth proportional to 2,230.06, 3,344.97 and 691.02 is: 1,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.06 : 3,344.97 = 691.02 : x
  2. Step 2: Convert to fraction form
    2,230.06/3,344.97 = 691.02/x
  3. Step 3: Cross multiply
    2,230.06x = 3,344.97 × 691.02
  4. Step 4: Simplify right side
    2,230.06x = 2,311,441.17
  5. Step 5: Solve for x
    x = 2,311,441.17/2,230.06
  6. Step 6: Final answer
    x = 1,036.49

Related Problems

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Half scale
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Double scale
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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.