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Finding the Fourth Proportional to 2,315.52, 3,474.24 and 2,205.12

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Solution

The fourth proportional to 2,315.52, 3,474.24 and 2,205.12 is: 3,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.52 : 3,474.24 = 2,205.12 : x
  2. Step 2: Convert to fraction form
    2,315.52/3,474.24 = 2,205.12/x
  3. Step 3: Cross multiply
    2,315.52x = 3,474.24 × 2,205.12
  4. Step 4: Simplify right side
    2,315.52x = 7,661,116.11
  5. Step 5: Solve for x
    x = 7,661,116.11/2,315.52
  6. Step 6: Final answer
    x = 3,308.59

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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.