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Finding the Fourth Proportional to 2,986.13, 4,479.27 and 794.91

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Solution

The fourth proportional to 2,986.13, 4,479.27 and 794.91 is: 1,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.13 : 4,479.27 = 794.91 : x
  2. Step 2: Convert to fraction form
    2,986.13/4,479.27 = 794.91/x
  3. Step 3: Cross multiply
    2,986.13x = 4,479.27 × 794.91
  4. Step 4: Simplify right side
    2,986.13x = 3,560,616.52
  5. Step 5: Solve for x
    x = 3,560,616.52/2,986.13
  6. Step 6: Final answer
    x = 1,192.38

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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.