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Finding the Fourth Proportional to 2,079.27, 3,117.75 and 691.86

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Solution

The fourth proportional to 2,079.27, 3,117.75 and 691.86 is: 1,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.27 : 3,117.75 = 691.86 : x
  2. Step 2: Convert to fraction form
    2,079.27/3,117.75 = 691.86/x
  3. Step 3: Cross multiply
    2,079.27x = 3,117.75 × 691.86
  4. Step 4: Simplify right side
    2,079.27x = 2,157,055.61
  5. Step 5: Solve for x
    x = 2,157,055.61/2,079.27
  6. Step 6: Final answer
    x = 1,037.41

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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.