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Finding the Fourth Proportional to 2,366.25, 3,549.44 and 634.88

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Solution

The fourth proportional to 2,366.25, 3,549.44 and 634.88 is: 952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.25 : 3,549.44 = 634.88 : x
  2. Step 2: Convert to fraction form
    2,366.25/3,549.44 = 634.88/x
  3. Step 3: Cross multiply
    2,366.25x = 3,549.44 × 634.88
  4. Step 4: Simplify right side
    2,366.25x = 2,253,452.31
  5. Step 5: Solve for x
    x = 2,253,452.31/2,366.25
  6. Step 6: Final answer
    x = 952.33

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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.