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Finding the Fourth Proportional to 2,732.32, 4,105.50 and 1,578.88

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Solution

The fourth proportional to 2,732.32, 4,105.50 and 1,578.88 is: 2,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.32 : 4,105.50 = 1,578.88 : x
  2. Step 2: Convert to fraction form
    2,732.32/4,105.50 = 1,578.88/x
  3. Step 3: Cross multiply
    2,732.32x = 4,105.50 × 1,578.88
  4. Step 4: Simplify right side
    2,732.32x = 6,482,091.84
  5. Step 5: Solve for x
    x = 6,482,091.84/2,732.32
  6. Step 6: Final answer
    x = 2,372.38

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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.