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Finding the Fourth Proportional to 2,869.71, 4,305 and 1,226.25

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Solution

The fourth proportional to 2,869.71, 4,305 and 1,226.25 is: 1,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.71 : 4,305 = 1,226.25 : x
  2. Step 2: Convert to fraction form
    2,869.71/4,305 = 1,226.25/x
  3. Step 3: Cross multiply
    2,869.71x = 4,305 × 1,226.25
  4. Step 4: Simplify right side
    2,869.71x = 5,279,006.25
  5. Step 5: Solve for x
    x = 5,279,006.25/2,869.71
  6. Step 6: Final answer
    x = 1,839.56

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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.