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Finding the Fourth Proportional to 2,562, 3,824.28 and 2,199.12

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Solution

The fourth proportional to 2,562, 3,824.28 and 2,199.12 is: 3,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562 : 3,824.28 = 2,199.12 : x
  2. Step 2: Convert to fraction form
    2,562/3,824.28 = 2,199.12/x
  3. Step 3: Cross multiply
    2,562x = 3,824.28 × 2,199.12
  4. Step 4: Simplify right side
    2,562x = 8,410,050.63
  5. Step 5: Solve for x
    x = 8,410,050.63/2,562
  6. Step 6: Final answer
    x = 3,282.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.