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Finding the Fourth Proportional to 3,134.43, 4,701.29 and 826.11

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Solution

The fourth proportional to 3,134.43, 4,701.29 and 826.11 is: 1,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.43 : 4,701.29 = 826.11 : x
  2. Step 2: Convert to fraction form
    3,134.43/4,701.29 = 826.11/x
  3. Step 3: Cross multiply
    3,134.43x = 4,701.29 × 826.11
  4. Step 4: Simplify right side
    3,134.43x = 3,883,778.55
  5. Step 5: Solve for x
    x = 3,883,778.55/3,134.43
  6. Step 6: Final answer
    x = 1,239.07

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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.