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Finding the Fourth Proportional to 2,599.25, 3,897.76 and 749.92

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Solution

The fourth proportional to 2,599.25, 3,897.76 and 749.92 is: 1,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.25 : 3,897.76 = 749.92 : x
  2. Step 2: Convert to fraction form
    2,599.25/3,897.76 = 749.92/x
  3. Step 3: Cross multiply
    2,599.25x = 3,897.76 × 749.92
  4. Step 4: Simplify right side
    2,599.25x = 2,923,008.18
  5. Step 5: Solve for x
    x = 2,923,008.18/2,599.25
  6. Step 6: Final answer
    x = 1,124.56

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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.