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Finding the Fourth Proportional to 2,523.73, 3,782.56 and 2,228.49

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Solution

The fourth proportional to 2,523.73, 3,782.56 and 2,228.49 is: 3,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.73 : 3,782.56 = 2,228.49 : x
  2. Step 2: Convert to fraction form
    2,523.73/3,782.56 = 2,228.49/x
  3. Step 3: Cross multiply
    2,523.73x = 3,782.56 × 2,228.49
  4. Step 4: Simplify right side
    2,523.73x = 8,429,397.13
  5. Step 5: Solve for x
    x = 8,429,397.13/2,523.73
  6. Step 6: Final answer
    x = 3,340.06

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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.