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Finding the Fourth Proportional to 1,695.17, 2,542.92 and 462.59

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Solution

The fourth proportional to 1,695.17, 2,542.92 and 462.59 is: 693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.17 : 2,542.92 = 462.59 : x
  2. Step 2: Convert to fraction form
    1,695.17/2,542.92 = 462.59/x
  3. Step 3: Cross multiply
    1,695.17x = 2,542.92 × 462.59
  4. Step 4: Simplify right side
    1,695.17x = 1,176,316.65
  5. Step 5: Solve for x
    x = 1,176,316.65/1,695.17
  6. Step 6: Final answer
    x = 693.92

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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.