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Finding the Fourth Proportional to 3,144.81, 4,717.52 and 836.31

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Solution

The fourth proportional to 3,144.81, 4,717.52 and 836.31 is: 1,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.81 : 4,717.52 = 836.31 : x
  2. Step 2: Convert to fraction form
    3,144.81/4,717.52 = 836.31/x
  3. Step 3: Cross multiply
    3,144.81x = 4,717.52 × 836.31
  4. Step 4: Simplify right side
    3,144.81x = 3,945,309.15
  5. Step 5: Solve for x
    x = 3,945,309.15/3,144.81
  6. Step 6: Final answer
    x = 1,254.55

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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.