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Finding the Fourth Proportional to 1,657.92, 2,488.28 and 1,042.78

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Solution

The fourth proportional to 1,657.92, 2,488.28 and 1,042.78 is: 1,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.92 : 2,488.28 = 1,042.78 : x
  2. Step 2: Convert to fraction form
    1,657.92/2,488.28 = 1,042.78/x
  3. Step 3: Cross multiply
    1,657.92x = 2,488.28 × 1,042.78
  4. Step 4: Simplify right side
    1,657.92x = 2,594,728.62
  5. Step 5: Solve for x
    x = 2,594,728.62/1,657.92
  6. Step 6: Final answer
    x = 1,565.05

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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.