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Finding the Fourth Proportional to 2,294.92, 3,448.86 and 2,217.16

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Solution

The fourth proportional to 2,294.92, 3,448.86 and 2,217.16 is: 3,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.92 : 3,448.86 = 2,217.16 : x
  2. Step 2: Convert to fraction form
    2,294.92/3,448.86 = 2,217.16/x
  3. Step 3: Cross multiply
    2,294.92x = 3,448.86 × 2,217.16
  4. Step 4: Simplify right side
    2,294.92x = 7,646,674.44
  5. Step 5: Solve for x
    x = 7,646,674.44/2,294.92
  6. Step 6: Final answer
    x = 3,332.00

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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.