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Finding the Fourth Proportional to 2,482.12, 3,724.24 and 1,248.88

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Solution

The fourth proportional to 2,482.12, 3,724.24 and 1,248.88 is: 1,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.12 : 3,724.24 = 1,248.88 : x
  2. Step 2: Convert to fraction form
    2,482.12/3,724.24 = 1,248.88/x
  3. Step 3: Cross multiply
    2,482.12x = 3,724.24 × 1,248.88
  4. Step 4: Simplify right side
    2,482.12x = 4,651,128.85
  5. Step 5: Solve for x
    x = 4,651,128.85/2,482.12
  6. Step 6: Final answer
    x = 1,873.85

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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.