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Finding the Fourth Proportional to 1,414.47, 1,952.91 and 883.56

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Solution

The fourth proportional to 1,414.47, 1,952.91 and 883.56 is: 1,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.47 : 1,952.91 = 883.56 : x
  2. Step 2: Convert to fraction form
    1,414.47/1,952.91 = 883.56/x
  3. Step 3: Cross multiply
    1,414.47x = 1,952.91 × 883.56
  4. Step 4: Simplify right side
    1,414.47x = 1,725,513.16
  5. Step 5: Solve for x
    x = 1,725,513.16/1,414.47
  6. Step 6: Final answer
    x = 1,219.90

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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.