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Finding the Fourth Proportional to 2,504.13, 3,756.45 and 861.14

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Solution

The fourth proportional to 2,504.13, 3,756.45 and 861.14 is: 1,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.13 : 3,756.45 = 861.14 : x
  2. Step 2: Convert to fraction form
    2,504.13/3,756.45 = 861.14/x
  3. Step 3: Cross multiply
    2,504.13x = 3,756.45 × 861.14
  4. Step 4: Simplify right side
    2,504.13x = 3,234,810.57
  5. Step 5: Solve for x
    x = 3,234,810.57/2,504.13
  6. Step 6: Final answer
    x = 1,291.79

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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.