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Finding the Fourth Proportional to 3,635.41, 5,452.34 and 1,660.48

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Solution

The fourth proportional to 3,635.41, 5,452.34 and 1,660.48 is: 2,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.41 : 5,452.34 = 1,660.48 : x
  2. Step 2: Convert to fraction form
    3,635.41/5,452.34 = 1,660.48/x
  3. Step 3: Cross multiply
    3,635.41x = 5,452.34 × 1,660.48
  4. Step 4: Simplify right side
    3,635.41x = 9,053,501.52
  5. Step 5: Solve for x
    x = 9,053,501.52/3,635.41
  6. Step 6: Final answer
    x = 2,490.37

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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.