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Finding the Fourth Proportional to 2,438.97, 3,658.65 and 795.48

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Solution

The fourth proportional to 2,438.97, 3,658.65 and 795.48 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.97 : 3,658.65 = 795.48 : x
  2. Step 2: Convert to fraction form
    2,438.97/3,658.65 = 795.48/x
  3. Step 3: Cross multiply
    2,438.97x = 3,658.65 × 795.48
  4. Step 4: Simplify right side
    2,438.97x = 2,910,382.90
  5. Step 5: Solve for x
    x = 2,910,382.90/2,438.97
  6. Step 6: Final answer
    x = 1,193.28

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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.