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Finding the Fourth Proportional to 1,281.80, 1,772.34 and 1,117.78

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Solution

The fourth proportional to 1,281.80, 1,772.34 and 1,117.78 is: 1,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.80 : 1,772.34 = 1,117.78 : x
  2. Step 2: Convert to fraction form
    1,281.80/1,772.34 = 1,117.78/x
  3. Step 3: Cross multiply
    1,281.80x = 1,772.34 × 1,117.78
  4. Step 4: Simplify right side
    1,281.80x = 1,981,086.21
  5. Step 5: Solve for x
    x = 1,981,086.21/1,281.80
  6. Step 6: Final answer
    x = 1,545.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.