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Finding the Fourth Proportional to 3,134.76, 4,701.66 and 826.44

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Solution

The fourth proportional to 3,134.76, 4,701.66 and 826.44 is: 1,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.76 : 4,701.66 = 826.44 : x
  2. Step 2: Convert to fraction form
    3,134.76/4,701.66 = 826.44/x
  3. Step 3: Cross multiply
    3,134.76x = 4,701.66 × 826.44
  4. Step 4: Simplify right side
    3,134.76x = 3,885,639.89
  5. Step 5: Solve for x
    x = 3,885,639.89/3,134.76
  6. Step 6: Final answer
    x = 1,239.53

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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.