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Finding the Fourth Proportional to 2,648.73, 3,655.47 and 1,469.78

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Solution

The fourth proportional to 2,648.73, 3,655.47 and 1,469.78 is: 2,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.73 : 3,655.47 = 1,469.78 : x
  2. Step 2: Convert to fraction form
    2,648.73/3,655.47 = 1,469.78/x
  3. Step 3: Cross multiply
    2,648.73x = 3,655.47 × 1,469.78
  4. Step 4: Simplify right side
    2,648.73x = 5,372,718.42
  5. Step 5: Solve for x
    x = 5,372,718.42/2,648.73
  6. Step 6: Final answer
    x = 2,028.41

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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.