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Finding the Fourth Proportional to 3,134.80, 4,702.17 and 826.30

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Solution

The fourth proportional to 3,134.80, 4,702.17 and 826.30 is: 1,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.80 : 4,702.17 = 826.30 : x
  2. Step 2: Convert to fraction form
    3,134.80/4,702.17 = 826.30/x
  3. Step 3: Cross multiply
    3,134.80x = 4,702.17 × 826.30
  4. Step 4: Simplify right side
    3,134.80x = 3,885,403.07
  5. Step 5: Solve for x
    x = 3,885,403.07/3,134.80
  6. Step 6: Final answer
    x = 1,239.44

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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.