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Finding the Fourth Proportional to 2,815.80, 4,224.30 and 868.20

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Solution

The fourth proportional to 2,815.80, 4,224.30 and 868.20 is: 1,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.80 : 4,224.30 = 868.20 : x
  2. Step 2: Convert to fraction form
    2,815.80/4,224.30 = 868.20/x
  3. Step 3: Cross multiply
    2,815.80x = 4,224.30 × 868.20
  4. Step 4: Simplify right side
    2,815.80x = 3,667,537.26
  5. Step 5: Solve for x
    x = 3,667,537.26/2,815.80
  6. Step 6: Final answer
    x = 1,302.48

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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.