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Finding the Fourth Proportional to 2,267.88, 3,397.02 and 1,342.44

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Solution

The fourth proportional to 2,267.88, 3,397.02 and 1,342.44 is: 2,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.88 : 3,397.02 = 1,342.44 : x
  2. Step 2: Convert to fraction form
    2,267.88/3,397.02 = 1,342.44/x
  3. Step 3: Cross multiply
    2,267.88x = 3,397.02 × 1,342.44
  4. Step 4: Simplify right side
    2,267.88x = 4,560,295.53
  5. Step 5: Solve for x
    x = 4,560,295.53/2,267.88
  6. Step 6: Final answer
    x = 2,010.82

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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.