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Finding the Fourth Proportional to 2,853.18, 4,280.40 and 878.82

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Solution

The fourth proportional to 2,853.18, 4,280.40 and 878.82 is: 1,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.18 : 4,280.40 = 878.82 : x
  2. Step 2: Convert to fraction form
    2,853.18/4,280.40 = 878.82/x
  3. Step 3: Cross multiply
    2,853.18x = 4,280.40 × 878.82
  4. Step 4: Simplify right side
    2,853.18x = 3,761,701.13
  5. Step 5: Solve for x
    x = 3,761,701.13/2,853.18
  6. Step 6: Final answer
    x = 1,318.42

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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.