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Finding the Fourth Proportional to 2,722.80, 4,074.48 and 1,562.88

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Solution

The fourth proportional to 2,722.80, 4,074.48 and 1,562.88 is: 2,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.80 : 4,074.48 = 1,562.88 : x
  2. Step 2: Convert to fraction form
    2,722.80/4,074.48 = 1,562.88/x
  3. Step 3: Cross multiply
    2,722.80x = 4,074.48 × 1,562.88
  4. Step 4: Simplify right side
    2,722.80x = 6,367,923.30
  5. Step 5: Solve for x
    x = 6,367,923.30/2,722.80
  6. Step 6: Final answer
    x = 2,338.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.