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Finding the Fourth Proportional to 1,411.65, 1,947.24 and 1,079.55

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Solution

The fourth proportional to 1,411.65, 1,947.24 and 1,079.55 is: 1,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.65 : 1,947.24 = 1,079.55 : x
  2. Step 2: Convert to fraction form
    1,411.65/1,947.24 = 1,079.55/x
  3. Step 3: Cross multiply
    1,411.65x = 1,947.24 × 1,079.55
  4. Step 4: Simplify right side
    1,411.65x = 2,102,142.94
  5. Step 5: Solve for x
    x = 2,102,142.94/1,411.65
  6. Step 6: Final answer
    x = 1,489.14

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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.