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Finding the Fourth Proportional to 2,284.49, 3,428.04 and 968.15

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Solution

The fourth proportional to 2,284.49, 3,428.04 and 968.15 is: 1,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.49 : 3,428.04 = 968.15 : x
  2. Step 2: Convert to fraction form
    2,284.49/3,428.04 = 968.15/x
  3. Step 3: Cross multiply
    2,284.49x = 3,428.04 × 968.15
  4. Step 4: Simplify right side
    2,284.49x = 3,318,856.93
  5. Step 5: Solve for x
    x = 3,318,856.93/2,284.49
  6. Step 6: Final answer
    x = 1,452.78

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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.