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Finding the Fourth Proportional to 2,049.39, 3,074.73 and 864.05

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Solution

The fourth proportional to 2,049.39, 3,074.73 and 864.05 is: 1,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.39 : 3,074.73 = 864.05 : x
  2. Step 2: Convert to fraction form
    2,049.39/3,074.73 = 864.05/x
  3. Step 3: Cross multiply
    2,049.39x = 3,074.73 × 864.05
  4. Step 4: Simplify right side
    2,049.39x = 2,656,720.46
  5. Step 5: Solve for x
    x = 2,656,720.46/2,049.39
  6. Step 6: Final answer
    x = 1,296.35

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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.