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Finding the Fourth Proportional to 3,134.44, 4,701.66 and 826.28

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Solution

The fourth proportional to 3,134.44, 4,701.66 and 826.28 is: 1,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.44 : 4,701.66 = 826.28 : x
  2. Step 2: Convert to fraction form
    3,134.44/4,701.66 = 826.28/x
  3. Step 3: Cross multiply
    3,134.44x = 4,701.66 × 826.28
  4. Step 4: Simplify right side
    3,134.44x = 3,884,887.62
  5. Step 5: Solve for x
    x = 3,884,887.62/3,134.44
  6. Step 6: Final answer
    x = 1,239.42

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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.