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Finding the Fourth Proportional to 3,452.94, 5,172.48 and 1,601.52

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Solution

The fourth proportional to 3,452.94, 5,172.48 and 1,601.52 is: 2,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.94 : 5,172.48 = 1,601.52 : x
  2. Step 2: Convert to fraction form
    3,452.94/5,172.48 = 1,601.52/x
  3. Step 3: Cross multiply
    3,452.94x = 5,172.48 × 1,601.52
  4. Step 4: Simplify right side
    3,452.94x = 8,283,830.17
  5. Step 5: Solve for x
    x = 8,283,830.17/3,452.94
  6. Step 6: Final answer
    x = 2,399.07

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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.