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Finding the Fourth Proportional to 1,414.66, 1,951.87 and 1,037.09

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Solution

The fourth proportional to 1,414.66, 1,951.87 and 1,037.09 is: 1,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.66 : 1,951.87 = 1,037.09 : x
  2. Step 2: Convert to fraction form
    1,414.66/1,951.87 = 1,037.09/x
  3. Step 3: Cross multiply
    1,414.66x = 1,951.87 × 1,037.09
  4. Step 4: Simplify right side
    1,414.66x = 2,024,267.15
  5. Step 5: Solve for x
    x = 2,024,267.15/1,414.66
  6. Step 6: Final answer
    x = 1,430.92

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Why These Related Problems?

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