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Finding the Fourth Proportional to 2,359.72, 3,540.66 and 2,169.64

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Solution

The fourth proportional to 2,359.72, 3,540.66 and 2,169.64 is: 3,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.72 : 3,540.66 = 2,169.64 : x
  2. Step 2: Convert to fraction form
    2,359.72/3,540.66 = 2,169.64/x
  3. Step 3: Cross multiply
    2,359.72x = 3,540.66 × 2,169.64
  4. Step 4: Simplify right side
    2,359.72x = 7,681,957.56
  5. Step 5: Solve for x
    x = 7,681,957.56/2,359.72
  6. Step 6: Final answer
    x = 3,255.45

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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.