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Finding the Fourth Proportional to 3,131.74, 4,697.97 and 1,833.22

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Solution

The fourth proportional to 3,131.74, 4,697.97 and 1,833.22 is: 2,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.74 : 4,697.97 = 1,833.22 : x
  2. Step 2: Convert to fraction form
    3,131.74/4,697.97 = 1,833.22/x
  3. Step 3: Cross multiply
    3,131.74x = 4,697.97 × 1,833.22
  4. Step 4: Simplify right side
    3,131.74x = 8,612,412.56
  5. Step 5: Solve for x
    x = 8,612,412.56/3,131.74
  6. Step 6: Final answer
    x = 2,750.04

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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.