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Finding the Fourth Proportional to 1,920.71, 2,881.35 and 687.83

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Solution

The fourth proportional to 1,920.71, 2,881.35 and 687.83 is: 1,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.71 : 2,881.35 = 687.83 : x
  2. Step 2: Convert to fraction form
    1,920.71/2,881.35 = 687.83/x
  3. Step 3: Cross multiply
    1,920.71x = 2,881.35 × 687.83
  4. Step 4: Simplify right side
    1,920.71x = 1,981,878.97
  5. Step 5: Solve for x
    x = 1,981,878.97/1,920.71
  6. Step 6: Final answer
    x = 1,031.85

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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.