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Finding the Fourth Proportional to 1,542.26, 2,312.78 and 568.15

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Solution

The fourth proportional to 1,542.26, 2,312.78 and 568.15 is: 851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.26 : 2,312.78 = 568.15 : x
  2. Step 2: Convert to fraction form
    1,542.26/2,312.78 = 568.15/x
  3. Step 3: Cross multiply
    1,542.26x = 2,312.78 × 568.15
  4. Step 4: Simplify right side
    1,542.26x = 1,313,997.33
  5. Step 5: Solve for x
    x = 1,313,997.33/1,542.26
  6. Step 6: Final answer
    x = 851.99

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