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Finding the Fourth Proportional to 2,754.31, 3,800.88 and 1,575.28

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Solution

The fourth proportional to 2,754.31, 3,800.88 and 1,575.28 is: 2,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.31 : 3,800.88 = 1,575.28 : x
  2. Step 2: Convert to fraction form
    2,754.31/3,800.88 = 1,575.28/x
  3. Step 3: Cross multiply
    2,754.31x = 3,800.88 × 1,575.28
  4. Step 4: Simplify right side
    2,754.31x = 5,987,450.25
  5. Step 5: Solve for x
    x = 5,987,450.25/2,754.31
  6. Step 6: Final answer
    x = 2,173.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.