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Finding the Fourth Proportional to 2,876.44, 3,966.85 and 2,132.25

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Solution

The fourth proportional to 2,876.44, 3,966.85 and 2,132.25 is: 2,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.44 : 3,966.85 = 2,132.25 : x
  2. Step 2: Convert to fraction form
    2,876.44/3,966.85 = 2,132.25/x
  3. Step 3: Cross multiply
    2,876.44x = 3,966.85 × 2,132.25
  4. Step 4: Simplify right side
    2,876.44x = 8,458,315.91
  5. Step 5: Solve for x
    x = 8,458,315.91/2,876.44
  6. Step 6: Final answer
    x = 2,940.55

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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.