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Finding the Fourth Proportional to 2,129.97, 3,174.82 and 2,025.99

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Solution

The fourth proportional to 2,129.97, 3,174.82 and 2,025.99 is: 3,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.97 : 3,174.82 = 2,025.99 : x
  2. Step 2: Convert to fraction form
    2,129.97/3,174.82 = 2,025.99/x
  3. Step 3: Cross multiply
    2,129.97x = 3,174.82 × 2,025.99
  4. Step 4: Simplify right side
    2,129.97x = 6,432,153.57
  5. Step 5: Solve for x
    x = 6,432,153.57/2,129.97
  6. Step 6: Final answer
    x = 3,019.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.