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Finding the Fourth Proportional to 1,414.97, 2,117.44 and 1,043.90

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Solution

The fourth proportional to 1,414.97, 2,117.44 and 1,043.90 is: 1,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.97 : 2,117.44 = 1,043.90 : x
  2. Step 2: Convert to fraction form
    1,414.97/2,117.44 = 1,043.90/x
  3. Step 3: Cross multiply
    1,414.97x = 2,117.44 × 1,043.90
  4. Step 4: Simplify right side
    1,414.97x = 2,210,379.81
  5. Step 5: Solve for x
    x = 2,210,379.81/1,414.97
  6. Step 6: Final answer
    x = 1,562.14

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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.