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Finding the Fourth Proportional to 2,174.19, 3,257.70 and 1,350.19

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Solution

The fourth proportional to 2,174.19, 3,257.70 and 1,350.19 is: 2,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.19 : 3,257.70 = 1,350.19 : x
  2. Step 2: Convert to fraction form
    2,174.19/3,257.70 = 1,350.19/x
  3. Step 3: Cross multiply
    2,174.19x = 3,257.70 × 1,350.19
  4. Step 4: Simplify right side
    2,174.19x = 4,398,513.96
  5. Step 5: Solve for x
    x = 4,398,513.96/2,174.19
  6. Step 6: Final answer
    x = 2,023.06

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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.