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Finding the Fourth Proportional to 2,761.91, 4,137.23 and 2,298.20

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Solution

The fourth proportional to 2,761.91, 4,137.23 and 2,298.20 is: 3,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.91 : 4,137.23 = 2,298.20 : x
  2. Step 2: Convert to fraction form
    2,761.91/4,137.23 = 2,298.20/x
  3. Step 3: Cross multiply
    2,761.91x = 4,137.23 × 2,298.20
  4. Step 4: Simplify right side
    2,761.91x = 9,508,177.39
  5. Step 5: Solve for x
    x = 9,508,177.39/2,761.91
  6. Step 6: Final answer
    x = 3,442.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.