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Finding the Fourth Proportional to 2,497, 3,745.62 and 765.88

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Solution

The fourth proportional to 2,497, 3,745.62 and 765.88 is: 1,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497 : 3,745.62 = 765.88 : x
  2. Step 2: Convert to fraction form
    2,497/3,745.62 = 765.88/x
  3. Step 3: Cross multiply
    2,497x = 3,745.62 × 765.88
  4. Step 4: Simplify right side
    2,497x = 2,868,695.45
  5. Step 5: Solve for x
    x = 2,868,695.45/2,497
  6. Step 6: Final answer
    x = 1,148.86

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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.