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Finding the Fourth Proportional to 2,860.20, 3,952.20 and 2,232.30

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Solution

The fourth proportional to 2,860.20, 3,952.20 and 2,232.30 is: 3,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.20 : 3,952.20 = 2,232.30 : x
  2. Step 2: Convert to fraction form
    2,860.20/3,952.20 = 2,232.30/x
  3. Step 3: Cross multiply
    2,860.20x = 3,952.20 × 2,232.30
  4. Step 4: Simplify right side
    2,860.20x = 8,822,496.06
  5. Step 5: Solve for x
    x = 8,822,496.06/2,860.20
  6. Step 6: Final answer
    x = 3,084.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.