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Finding the Fourth Proportional to 2,797.39, 4,198.31 and 1,482.56

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Solution

The fourth proportional to 2,797.39, 4,198.31 and 1,482.56 is: 2,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.39 : 4,198.31 = 1,482.56 : x
  2. Step 2: Convert to fraction form
    2,797.39/4,198.31 = 1,482.56/x
  3. Step 3: Cross multiply
    2,797.39x = 4,198.31 × 1,482.56
  4. Step 4: Simplify right side
    2,797.39x = 6,224,246.47
  5. Step 5: Solve for x
    x = 6,224,246.47/2,797.39
  6. Step 6: Final answer
    x = 2,225.02

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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.