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Finding the Fourth Proportional to 2,257.83, 3,381.49 and 2,195.55

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Solution

The fourth proportional to 2,257.83, 3,381.49 and 2,195.55 is: 3,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.83 : 3,381.49 = 2,195.55 : x
  2. Step 2: Convert to fraction form
    2,257.83/3,381.49 = 2,195.55/x
  3. Step 3: Cross multiply
    2,257.83x = 3,381.49 × 2,195.55
  4. Step 4: Simplify right side
    2,257.83x = 7,424,233.11
  5. Step 5: Solve for x
    x = 7,424,233.11/2,257.83
  6. Step 6: Final answer
    x = 3,288.22

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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.