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Finding the Fourth Proportional to 2,939.50, 4,410.36 and 1,552.78

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Solution

The fourth proportional to 2,939.50, 4,410.36 and 1,552.78 is: 2,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.50 : 4,410.36 = 1,552.78 : x
  2. Step 2: Convert to fraction form
    2,939.50/4,410.36 = 1,552.78/x
  3. Step 3: Cross multiply
    2,939.50x = 4,410.36 × 1,552.78
  4. Step 4: Simplify right side
    2,939.50x = 6,848,318.80
  5. Step 5: Solve for x
    x = 6,848,318.80/2,939.50
  6. Step 6: Final answer
    x = 2,329.76

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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.