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Finding the Fourth Proportional to 2,302.43, 3,454.98 and 968.12

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Solution

The fourth proportional to 2,302.43, 3,454.98 and 968.12 is: 1,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.43 : 3,454.98 = 968.12 : x
  2. Step 2: Convert to fraction form
    2,302.43/3,454.98 = 968.12/x
  3. Step 3: Cross multiply
    2,302.43x = 3,454.98 × 968.12
  4. Step 4: Simplify right side
    2,302.43x = 3,344,843.19
  5. Step 5: Solve for x
    x = 3,344,843.19/2,302.43
  6. Step 6: Final answer
    x = 1,452.75

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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.