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Finding the Fourth Proportional to 2,932.80, 4,043.16 and 2,582.88

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Solution

The fourth proportional to 2,932.80, 4,043.16 and 2,582.88 is: 3,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.80 : 4,043.16 = 2,582.88 : x
  2. Step 2: Convert to fraction form
    2,932.80/4,043.16 = 2,582.88/x
  3. Step 3: Cross multiply
    2,932.80x = 4,043.16 × 2,582.88
  4. Step 4: Simplify right side
    2,932.80x = 10,442,997.10
  5. Step 5: Solve for x
    x = 10,442,997.10/2,932.80
  6. Step 6: Final answer
    x = 3,560.76

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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.