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Finding the Fourth Proportional to 1,414.50, 2,124.18 and 1,285.71

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Solution

The fourth proportional to 1,414.50, 2,124.18 and 1,285.71 is: 1,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.50 : 2,124.18 = 1,285.71 : x
  2. Step 2: Convert to fraction form
    1,414.50/2,124.18 = 1,285.71/x
  3. Step 3: Cross multiply
    1,414.50x = 2,124.18 × 1,285.71
  4. Step 4: Simplify right side
    1,414.50x = 2,731,079.47
  5. Step 5: Solve for x
    x = 2,731,079.47/1,414.50
  6. Step 6: Final answer
    x = 1,930.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.