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Finding the Fourth Proportional to 2,836.20, 4,254.31 and 861.85

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Solution

The fourth proportional to 2,836.20, 4,254.31 and 861.85 is: 1,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.20 : 4,254.31 = 861.85 : x
  2. Step 2: Convert to fraction form
    2,836.20/4,254.31 = 861.85/x
  3. Step 3: Cross multiply
    2,836.20x = 4,254.31 × 861.85
  4. Step 4: Simplify right side
    2,836.20x = 3,666,564.28
  5. Step 5: Solve for x
    x = 3,666,564.28/2,836.20
  6. Step 6: Final answer
    x = 1,292.77

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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.