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Finding the Fourth Proportional to 2,549, 3,823.50 and 725

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Solution

The fourth proportional to 2,549, 3,823.50 and 725 is: 1,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549 : 3,823.50 = 725 : x
  2. Step 2: Convert to fraction form
    2,549/3,823.50 = 725/x
  3. Step 3: Cross multiply
    2,549x = 3,823.50 × 725
  4. Step 4: Simplify right side
    2,549x = 2,772,037.50
  5. Step 5: Solve for x
    x = 2,772,037.50/2,549
  6. Step 6: Final answer
    x = 1,087.50

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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.