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Finding the Fourth Proportional to 2,658.13, 3,987.20 and 1,195.58

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Solution

The fourth proportional to 2,658.13, 3,987.20 and 1,195.58 is: 1,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.13 : 3,987.20 = 1,195.58 : x
  2. Step 2: Convert to fraction form
    2,658.13/3,987.20 = 1,195.58/x
  3. Step 3: Cross multiply
    2,658.13x = 3,987.20 × 1,195.58
  4. Step 4: Simplify right side
    2,658.13x = 4,766,995.15
  5. Step 5: Solve for x
    x = 4,766,995.15/2,658.13
  6. Step 6: Final answer
    x = 1,793.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.