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Finding the Fourth Proportional to 3,101.92, 4,275.65 and 2,541.40

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Solution

The fourth proportional to 3,101.92, 4,275.65 and 2,541.40 is: 3,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.92 : 4,275.65 = 2,541.40 : x
  2. Step 2: Convert to fraction form
    3,101.92/4,275.65 = 2,541.40/x
  3. Step 3: Cross multiply
    3,101.92x = 4,275.65 × 2,541.40
  4. Step 4: Simplify right side
    3,101.92x = 10,866,132.57
  5. Step 5: Solve for x
    x = 10,866,132.57/3,101.92
  6. Step 6: Final answer
    x = 3,503.04

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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.