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Finding the Fourth Proportional to 2,114.52, 3,174.52 and 1,627.92

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Solution

The fourth proportional to 2,114.52, 3,174.52 and 1,627.92 is: 2,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.52 : 3,174.52 = 1,627.92 : x
  2. Step 2: Convert to fraction form
    2,114.52/3,174.52 = 1,627.92/x
  3. Step 3: Cross multiply
    2,114.52x = 3,174.52 × 1,627.92
  4. Step 4: Simplify right side
    2,114.52x = 5,167,864.60
  5. Step 5: Solve for x
    x = 5,167,864.60/2,114.52
  6. Step 6: Final answer
    x = 2,443.99

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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.