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Finding the Fourth Proportional to 2,634.52, 3,951.33 and 968.32

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Solution

The fourth proportional to 2,634.52, 3,951.33 and 968.32 is: 1,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.52 : 3,951.33 = 968.32 : x
  2. Step 2: Convert to fraction form
    2,634.52/3,951.33 = 968.32/x
  3. Step 3: Cross multiply
    2,634.52x = 3,951.33 × 968.32
  4. Step 4: Simplify right side
    2,634.52x = 3,826,151.87
  5. Step 5: Solve for x
    x = 3,826,151.87/2,634.52
  6. Step 6: Final answer
    x = 1,452.31

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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.