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Finding the Fourth Proportional to 2,119.86, 3,177.90 and 1,079.28

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Solution

The fourth proportional to 2,119.86, 3,177.90 and 1,079.28 is: 1,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.86 : 3,177.90 = 1,079.28 : x
  2. Step 2: Convert to fraction form
    2,119.86/3,177.90 = 1,079.28/x
  3. Step 3: Cross multiply
    2,119.86x = 3,177.90 × 1,079.28
  4. Step 4: Simplify right side
    2,119.86x = 3,429,843.91
  5. Step 5: Solve for x
    x = 3,429,843.91/2,119.86
  6. Step 6: Final answer
    x = 1,617.96

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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.