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Finding the Fourth Proportional to 2,532.75, 3,799.80 and 801.38

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Solution

The fourth proportional to 2,532.75, 3,799.80 and 801.38 is: 1,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.75 : 3,799.80 = 801.38 : x
  2. Step 2: Convert to fraction form
    2,532.75/3,799.80 = 801.38/x
  3. Step 3: Cross multiply
    2,532.75x = 3,799.80 × 801.38
  4. Step 4: Simplify right side
    2,532.75x = 3,045,064.73
  5. Step 5: Solve for x
    x = 3,045,064.73/2,532.75
  6. Step 6: Final answer
    x = 1,202.28

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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.