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Finding the Fourth Proportional to 2,866.17, 4,299.72 and 918.25

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Solution

The fourth proportional to 2,866.17, 4,299.72 and 918.25 is: 1,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.17 : 4,299.72 = 918.25 : x
  2. Step 2: Convert to fraction form
    2,866.17/4,299.72 = 918.25/x
  3. Step 3: Cross multiply
    2,866.17x = 4,299.72 × 918.25
  4. Step 4: Simplify right side
    2,866.17x = 3,948,217.89
  5. Step 5: Solve for x
    x = 3,948,217.89/2,866.17
  6. Step 6: Final answer
    x = 1,377.52

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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.