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Finding the Fourth Proportional to 3,369.54, 5,052.13 and 1,614.50

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Solution

The fourth proportional to 3,369.54, 5,052.13 and 1,614.50 is: 2,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.54 : 5,052.13 = 1,614.50 : x
  2. Step 2: Convert to fraction form
    3,369.54/5,052.13 = 1,614.50/x
  3. Step 3: Cross multiply
    3,369.54x = 5,052.13 × 1,614.50
  4. Step 4: Simplify right side
    3,369.54x = 8,156,663.89
  5. Step 5: Solve for x
    x = 8,156,663.89/3,369.54
  6. Step 6: Final answer
    x = 2,420.71

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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.