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Finding the Fourth Proportional to 1,414.53, 1,953.11 and 1,042.07

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Solution

The fourth proportional to 1,414.53, 1,953.11 and 1,042.07 is: 1,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.53 : 1,953.11 = 1,042.07 : x
  2. Step 2: Convert to fraction form
    1,414.53/1,953.11 = 1,042.07/x
  3. Step 3: Cross multiply
    1,414.53x = 1,953.11 × 1,042.07
  4. Step 4: Simplify right side
    1,414.53x = 2,035,270.18
  5. Step 5: Solve for x
    x = 2,035,270.18/1,414.53
  6. Step 6: Final answer
    x = 1,438.83

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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.