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Finding the Fourth Proportional to 2,293.24, 3,438.78 and 812.20

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Solution

The fourth proportional to 2,293.24, 3,438.78 and 812.20 is: 1,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.24 : 3,438.78 = 812.20 : x
  2. Step 2: Convert to fraction form
    2,293.24/3,438.78 = 812.20/x
  3. Step 3: Cross multiply
    2,293.24x = 3,438.78 × 812.20
  4. Step 4: Simplify right side
    2,293.24x = 2,792,977.12
  5. Step 5: Solve for x
    x = 2,792,977.12/2,293.24
  6. Step 6: Final answer
    x = 1,217.92

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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.