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Finding the Fourth Proportional to 1,749.76, 2,414.60 and 963.78

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Solution

The fourth proportional to 1,749.76, 2,414.60 and 963.78 is: 1,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.76 : 2,414.60 = 963.78 : x
  2. Step 2: Convert to fraction form
    1,749.76/2,414.60 = 963.78/x
  3. Step 3: Cross multiply
    1,749.76x = 2,414.60 × 963.78
  4. Step 4: Simplify right side
    1,749.76x = 2,327,143.19
  5. Step 5: Solve for x
    x = 2,327,143.19/1,749.76
  6. Step 6: Final answer
    x = 1,329.98

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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.