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Finding the Fourth Proportional to 3,601.83, 5,402.19 and 1,653.78

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Solution

The fourth proportional to 3,601.83, 5,402.19 and 1,653.78 is: 2,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.83 : 5,402.19 = 1,653.78 : x
  2. Step 2: Convert to fraction form
    3,601.83/5,402.19 = 1,653.78/x
  3. Step 3: Cross multiply
    3,601.83x = 5,402.19 × 1,653.78
  4. Step 4: Simplify right side
    3,601.83x = 8,934,033.78
  5. Step 5: Solve for x
    x = 8,934,033.78/3,601.83
  6. Step 6: Final answer
    x = 2,480.42

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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.