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Finding the Fourth Proportional to 2,158.85, 3,238.85 and 1,171.23

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Solution

The fourth proportional to 2,158.85, 3,238.85 and 1,171.23 is: 1,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.85 : 3,238.85 = 1,171.23 : x
  2. Step 2: Convert to fraction form
    2,158.85/3,238.85 = 1,171.23/x
  3. Step 3: Cross multiply
    2,158.85x = 3,238.85 × 1,171.23
  4. Step 4: Simplify right side
    2,158.85x = 3,793,432.43
  5. Step 5: Solve for x
    x = 3,793,432.43/2,158.85
  6. Step 6: Final answer
    x = 1,757.16

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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.