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Finding the Fourth Proportional to 2,497.29, 3,745.79 and 765.91

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Solution

The fourth proportional to 2,497.29, 3,745.79 and 765.91 is: 1,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.29 : 3,745.79 = 765.91 : x
  2. Step 2: Convert to fraction form
    2,497.29/3,745.79 = 765.91/x
  3. Step 3: Cross multiply
    2,497.29x = 3,745.79 × 765.91
  4. Step 4: Simplify right side
    2,497.29x = 2,868,938.02
  5. Step 5: Solve for x
    x = 2,868,938.02/2,497.29
  6. Step 6: Final answer
    x = 1,148.82

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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.