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Finding the Fourth Proportional to 2,252.23, 3,377.66 and 865.46

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Solution

The fourth proportional to 2,252.23, 3,377.66 and 865.46 is: 1,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.23 : 3,377.66 = 865.46 : x
  2. Step 2: Convert to fraction form
    2,252.23/3,377.66 = 865.46/x
  3. Step 3: Cross multiply
    2,252.23x = 3,377.66 × 865.46
  4. Step 4: Simplify right side
    2,252.23x = 2,923,229.62
  5. Step 5: Solve for x
    x = 2,923,229.62/2,252.23
  6. Step 6: Final answer
    x = 1,297.93

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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.