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Finding the Fourth Proportional to 2,243.52, 3,358.32 and 2,052.15

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Solution

The fourth proportional to 2,243.52, 3,358.32 and 2,052.15 is: 3,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.52 : 3,358.32 = 2,052.15 : x
  2. Step 2: Convert to fraction form
    2,243.52/3,358.32 = 2,052.15/x
  3. Step 3: Cross multiply
    2,243.52x = 3,358.32 × 2,052.15
  4. Step 4: Simplify right side
    2,243.52x = 6,891,776.39
  5. Step 5: Solve for x
    x = 6,891,776.39/2,243.52
  6. Step 6: Final answer
    x = 3,071.86

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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.