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Finding the Fourth Proportional to 2,754.23, 3,800.82 and 1,575.32

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Solution

The fourth proportional to 2,754.23, 3,800.82 and 1,575.32 is: 2,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.23 : 3,800.82 = 1,575.32 : x
  2. Step 2: Convert to fraction form
    2,754.23/3,800.82 = 1,575.32/x
  3. Step 3: Cross multiply
    2,754.23x = 3,800.82 × 1,575.32
  4. Step 4: Simplify right side
    2,754.23x = 5,987,523.17
  5. Step 5: Solve for x
    x = 5,987,523.17/2,754.23
  6. Step 6: Final answer
    x = 2,173.94

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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.