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Finding the Fourth Proportional to 2,248.14, 3,377.02 and 2,174.34

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Solution

The fourth proportional to 2,248.14, 3,377.02 and 2,174.34 is: 3,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.14 : 3,377.02 = 2,174.34 : x
  2. Step 2: Convert to fraction form
    2,248.14/3,377.02 = 2,174.34/x
  3. Step 3: Cross multiply
    2,248.14x = 3,377.02 × 2,174.34
  4. Step 4: Simplify right side
    2,248.14x = 7,342,789.67
  5. Step 5: Solve for x
    x = 7,342,789.67/2,248.14
  6. Step 6: Final answer
    x = 3,266.16

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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.