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Finding the Fourth Proportional to 2,505.40, 3,757.18 and 861.48

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Solution

The fourth proportional to 2,505.40, 3,757.18 and 861.48 is: 1,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.40 : 3,757.18 = 861.48 : x
  2. Step 2: Convert to fraction form
    2,505.40/3,757.18 = 861.48/x
  3. Step 3: Cross multiply
    2,505.40x = 3,757.18 × 861.48
  4. Step 4: Simplify right side
    2,505.40x = 3,236,735.43
  5. Step 5: Solve for x
    x = 3,236,735.43/2,505.40
  6. Step 6: Final answer
    x = 1,291.90

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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.