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Finding the Fourth Proportional to 2,504.93, 3,757.65 and 861.26

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Solution

The fourth proportional to 2,504.93, 3,757.65 and 861.26 is: 1,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.93 : 3,757.65 = 861.26 : x
  2. Step 2: Convert to fraction form
    2,504.93/3,757.65 = 861.26/x
  3. Step 3: Cross multiply
    2,504.93x = 3,757.65 × 861.26
  4. Step 4: Simplify right side
    2,504.93x = 3,236,313.64
  5. Step 5: Solve for x
    x = 3,236,313.64/2,504.93
  6. Step 6: Final answer
    x = 1,291.98

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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.