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Finding the Fourth Proportional to 3,134.68, 4,701.66 and 826.12

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Solution

The fourth proportional to 3,134.68, 4,701.66 and 826.12 is: 1,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.68 : 4,701.66 = 826.12 : x
  2. Step 2: Convert to fraction form
    3,134.68/4,701.66 = 826.12/x
  3. Step 3: Cross multiply
    3,134.68x = 4,701.66 × 826.12
  4. Step 4: Simplify right side
    3,134.68x = 3,884,135.36
  5. Step 5: Solve for x
    x = 3,884,135.36/3,134.68
  6. Step 6: Final answer
    x = 1,239.09

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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.