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Finding the Fourth Proportional to 2,927.66, 4,041.13 and 2,331.24

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Solution

The fourth proportional to 2,927.66, 4,041.13 and 2,331.24 is: 3,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.66 : 4,041.13 = 2,331.24 : x
  2. Step 2: Convert to fraction form
    2,927.66/4,041.13 = 2,331.24/x
  3. Step 3: Cross multiply
    2,927.66x = 4,041.13 × 2,331.24
  4. Step 4: Simplify right side
    2,927.66x = 9,420,843.90
  5. Step 5: Solve for x
    x = 9,420,843.90/2,927.66
  6. Step 6: Final answer
    x = 3,217.87

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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.