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Finding the Fourth Proportional to 1,542.30, 2,313.20 and 568.16

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Solution

The fourth proportional to 1,542.30, 2,313.20 and 568.16 is: 852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.30 : 2,313.20 = 568.16 : x
  2. Step 2: Convert to fraction form
    1,542.30/2,313.20 = 568.16/x
  3. Step 3: Cross multiply
    1,542.30x = 2,313.20 × 568.16
  4. Step 4: Simplify right side
    1,542.30x = 1,314,267.71
  5. Step 5: Solve for x
    x = 1,314,267.71/1,542.30
  6. Step 6: Final answer
    x = 852.15

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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.