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Finding the Fourth Proportional to 3,145.18, 4,717.41 and 836.86

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Solution

The fourth proportional to 3,145.18, 4,717.41 and 836.86 is: 1,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.18 : 4,717.41 = 836.86 : x
  2. Step 2: Convert to fraction form
    3,145.18/4,717.41 = 836.86/x
  3. Step 3: Cross multiply
    3,145.18x = 4,717.41 × 836.86
  4. Step 4: Simplify right side
    3,145.18x = 3,947,811.73
  5. Step 5: Solve for x
    x = 3,947,811.73/3,145.18
  6. Step 6: Final answer
    x = 1,255.19

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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.