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Finding the Fourth Proportional to 2,844.72, 4,259.76 and 2,286.80

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Solution

The fourth proportional to 2,844.72, 4,259.76 and 2,286.80 is: 3,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.72 : 4,259.76 = 2,286.80 : x
  2. Step 2: Convert to fraction form
    2,844.72/4,259.76 = 2,286.80/x
  3. Step 3: Cross multiply
    2,844.72x = 4,259.76 × 2,286.80
  4. Step 4: Simplify right side
    2,844.72x = 9,741,219.17
  5. Step 5: Solve for x
    x = 9,741,219.17/2,844.72
  6. Step 6: Final answer
    x = 3,424.32

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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.