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Finding the Fourth Proportional to 2,319.63, 3,479.64 and 588.25

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Solution

The fourth proportional to 2,319.63, 3,479.64 and 588.25 is: 882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.63 : 3,479.64 = 588.25 : x
  2. Step 2: Convert to fraction form
    2,319.63/3,479.64 = 588.25/x
  3. Step 3: Cross multiply
    2,319.63x = 3,479.64 × 588.25
  4. Step 4: Simplify right side
    2,319.63x = 2,046,898.23
  5. Step 5: Solve for x
    x = 2,046,898.23/2,319.63
  6. Step 6: Final answer
    x = 882.42

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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.