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Finding the Fourth Proportional to 2,165.38, 3,231.07 and 2,033.13

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Solution

The fourth proportional to 2,165.38, 3,231.07 and 2,033.13 is: 3,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.38 : 3,231.07 = 2,033.13 : x
  2. Step 2: Convert to fraction form
    2,165.38/3,231.07 = 2,033.13/x
  3. Step 3: Cross multiply
    2,165.38x = 3,231.07 × 2,033.13
  4. Step 4: Simplify right side
    2,165.38x = 6,569,185.35
  5. Step 5: Solve for x
    x = 6,569,185.35/2,165.38
  6. Step 6: Final answer
    x = 3,033.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.