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Finding the Fourth Proportional to 1,749.52, 2,414.33 and 963.57

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Solution

The fourth proportional to 1,749.52, 2,414.33 and 963.57 is: 1,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.52 : 2,414.33 = 963.57 : x
  2. Step 2: Convert to fraction form
    1,749.52/2,414.33 = 963.57/x
  3. Step 3: Cross multiply
    1,749.52x = 2,414.33 × 963.57
  4. Step 4: Simplify right side
    1,749.52x = 2,326,363.89
  5. Step 5: Solve for x
    x = 2,326,363.89/1,749.52
  6. Step 6: Final answer
    x = 1,329.72

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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.