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Finding the Fourth Proportional to 3,452.52, 5,178.72 and 1,601.64

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Solution

The fourth proportional to 3,452.52, 5,178.72 and 1,601.64 is: 2,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.52 : 5,178.72 = 1,601.64 : x
  2. Step 2: Convert to fraction form
    3,452.52/5,178.72 = 1,601.64/x
  3. Step 3: Cross multiply
    3,452.52x = 5,178.72 × 1,601.64
  4. Step 4: Simplify right side
    3,452.52x = 8,294,445.10
  5. Step 5: Solve for x
    x = 8,294,445.10/3,452.52
  6. Step 6: Final answer
    x = 2,402.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.