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Finding the Fourth Proportional to 2,512.96, 3,766.56 and 868.48

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Solution

The fourth proportional to 2,512.96, 3,766.56 and 868.48 is: 1,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.96 : 3,766.56 = 868.48 : x
  2. Step 2: Convert to fraction form
    2,512.96/3,766.56 = 868.48/x
  3. Step 3: Cross multiply
    2,512.96x = 3,766.56 × 868.48
  4. Step 4: Simplify right side
    2,512.96x = 3,271,182.03
  5. Step 5: Solve for x
    x = 3,271,182.03/2,512.96
  6. Step 6: Final answer
    x = 1,301.72

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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.