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Finding the Fourth Proportional to 2,865.98, 4,299.78 and 918.32

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Solution

The fourth proportional to 2,865.98, 4,299.78 and 918.32 is: 1,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.98 : 4,299.78 = 918.32 : x
  2. Step 2: Convert to fraction form
    2,865.98/4,299.78 = 918.32/x
  3. Step 3: Cross multiply
    2,865.98x = 4,299.78 × 918.32
  4. Step 4: Simplify right side
    2,865.98x = 3,948,573.97
  5. Step 5: Solve for x
    x = 3,948,573.97/2,865.98
  6. Step 6: Final answer
    x = 1,377.74

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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.