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Finding the Fourth Proportional to 2,876.60, 3,966.77 and 2,709.17

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Solution

The fourth proportional to 2,876.60, 3,966.77 and 2,709.17 is: 3,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.60 : 3,966.77 = 2,709.17 : x
  2. Step 2: Convert to fraction form
    2,876.60/3,966.77 = 2,709.17/x
  3. Step 3: Cross multiply
    2,876.60x = 3,966.77 × 2,709.17
  4. Step 4: Simplify right side
    2,876.60x = 10,746,620.90
  5. Step 5: Solve for x
    x = 10,746,620.90/2,876.60
  6. Step 6: Final answer
    x = 3,735.88

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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.