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Finding the Fourth Proportional to 2,504.57, 3,756.92 and 861.26

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Solution

The fourth proportional to 2,504.57, 3,756.92 and 861.26 is: 1,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.57 : 3,756.92 = 861.26 : x
  2. Step 2: Convert to fraction form
    2,504.57/3,756.92 = 861.26/x
  3. Step 3: Cross multiply
    2,504.57x = 3,756.92 × 861.26
  4. Step 4: Simplify right side
    2,504.57x = 3,235,661.83
  5. Step 5: Solve for x
    x = 3,235,661.83/2,504.57
  6. Step 6: Final answer
    x = 1,291.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.