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Finding the Fourth Proportional to 2,865.82, 4,299.36 and 918.22

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Solution

The fourth proportional to 2,865.82, 4,299.36 and 918.22 is: 1,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.82 : 4,299.36 = 918.22 : x
  2. Step 2: Convert to fraction form
    2,865.82/4,299.36 = 918.22/x
  3. Step 3: Cross multiply
    2,865.82x = 4,299.36 × 918.22
  4. Step 4: Simplify right side
    2,865.82x = 3,947,758.34
  5. Step 5: Solve for x
    x = 3,947,758.34/2,865.82
  6. Step 6: Final answer
    x = 1,377.53

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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.