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Finding the Fourth Proportional to 2,805.20, 4,199.16 and 2,632.40

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Solution

The fourth proportional to 2,805.20, 4,199.16 and 2,632.40 is: 3,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.20 : 4,199.16 = 2,632.40 : x
  2. Step 2: Convert to fraction form
    2,805.20/4,199.16 = 2,632.40/x
  3. Step 3: Cross multiply
    2,805.20x = 4,199.16 × 2,632.40
  4. Step 4: Simplify right side
    2,805.20x = 11,053,868.78
  5. Step 5: Solve for x
    x = 11,053,868.78/2,805.20
  6. Step 6: Final answer
    x = 3,940.49

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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.