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Finding the Fourth Proportional to 2,167.62, 3,245.46 and 1,125.42

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Solution

The fourth proportional to 2,167.62, 3,245.46 and 1,125.42 is: 1,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.62 : 3,245.46 = 1,125.42 : x
  2. Step 2: Convert to fraction form
    2,167.62/3,245.46 = 1,125.42/x
  3. Step 3: Cross multiply
    2,167.62x = 3,245.46 × 1,125.42
  4. Step 4: Simplify right side
    2,167.62x = 3,652,505.59
  5. Step 5: Solve for x
    x = 3,652,505.59/2,167.62
  6. Step 6: Final answer
    x = 1,685.03

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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.