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Finding the Fourth Proportional to 1,414.84, 2,121.36 and 635.08

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Solution

The fourth proportional to 1,414.84, 2,121.36 and 635.08 is: 952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.84 : 2,121.36 = 635.08 : x
  2. Step 2: Convert to fraction form
    1,414.84/2,121.36 = 635.08/x
  3. Step 3: Cross multiply
    1,414.84x = 2,121.36 × 635.08
  4. Step 4: Simplify right side
    1,414.84x = 1,347,233.31
  5. Step 5: Solve for x
    x = 1,347,233.31/1,414.84
  6. Step 6: Final answer
    x = 952.22

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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.