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Finding the Fourth Proportional to 2,523.82, 3,484.56 and 2,257.42

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Solution

The fourth proportional to 2,523.82, 3,484.56 and 2,257.42 is: 3,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.82 : 3,484.56 = 2,257.42 : x
  2. Step 2: Convert to fraction form
    2,523.82/3,484.56 = 2,257.42/x
  3. Step 3: Cross multiply
    2,523.82x = 3,484.56 × 2,257.42
  4. Step 4: Simplify right side
    2,523.82x = 7,866,115.44
  5. Step 5: Solve for x
    x = 7,866,115.44/2,523.82
  6. Step 6: Final answer
    x = 3,116.75

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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.