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Finding the Fourth Proportional to 2,531.30, 3,797.13 and 887.66

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Solution

The fourth proportional to 2,531.30, 3,797.13 and 887.66 is: 1,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.30 : 3,797.13 = 887.66 : x
  2. Step 2: Convert to fraction form
    2,531.30/3,797.13 = 887.66/x
  3. Step 3: Cross multiply
    2,531.30x = 3,797.13 × 887.66
  4. Step 4: Simplify right side
    2,531.30x = 3,370,560.42
  5. Step 5: Solve for x
    x = 3,370,560.42/2,531.30
  6. Step 6: Final answer
    x = 1,331.55

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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.