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Finding the Fourth Proportional to 1,542.12, 2,313.18 and 515.88

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Solution

The fourth proportional to 1,542.12, 2,313.18 and 515.88 is: 773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.12 : 2,313.18 = 515.88 : x
  2. Step 2: Convert to fraction form
    1,542.12/2,313.18 = 515.88/x
  3. Step 3: Cross multiply
    1,542.12x = 2,313.18 × 515.88
  4. Step 4: Simplify right side
    1,542.12x = 1,193,323.30
  5. Step 5: Solve for x
    x = 1,193,323.30/1,542.12
  6. Step 6: Final answer
    x = 773.82

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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.