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Finding the Fourth Proportional to 2,372.68, 3,267.18 and 2,234.14

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Solution

The fourth proportional to 2,372.68, 3,267.18 and 2,234.14 is: 3,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.68 : 3,267.18 = 2,234.14 : x
  2. Step 2: Convert to fraction form
    2,372.68/3,267.18 = 2,234.14/x
  3. Step 3: Cross multiply
    2,372.68x = 3,267.18 × 2,234.14
  4. Step 4: Simplify right side
    2,372.68x = 7,299,337.53
  5. Step 5: Solve for x
    x = 7,299,337.53/2,372.68
  6. Step 6: Final answer
    x = 3,076.41

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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.