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Finding the Fourth Proportional to 2,299.97, 3,449.16 and 2,152.35

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Solution

The fourth proportional to 2,299.97, 3,449.16 and 2,152.35 is: 3,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.97 : 3,449.16 = 2,152.35 : x
  2. Step 2: Convert to fraction form
    2,299.97/3,449.16 = 2,152.35/x
  3. Step 3: Cross multiply
    2,299.97x = 3,449.16 × 2,152.35
  4. Step 4: Simplify right side
    2,299.97x = 7,423,799.53
  5. Step 5: Solve for x
    x = 7,423,799.53/2,299.97
  6. Step 6: Final answer
    x = 3,227.78

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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.