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Finding the Fourth Proportional to 2,452.89, 3,658.73 and 2,231.45

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Solution

The fourth proportional to 2,452.89, 3,658.73 and 2,231.45 is: 3,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.89 : 3,658.73 = 2,231.45 : x
  2. Step 2: Convert to fraction form
    2,452.89/3,658.73 = 2,231.45/x
  3. Step 3: Cross multiply
    2,452.89x = 3,658.73 × 2,231.45
  4. Step 4: Simplify right side
    2,452.89x = 8,164,273.06
  5. Step 5: Solve for x
    x = 8,164,273.06/2,452.89
  6. Step 6: Final answer
    x = 3,328.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.