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Finding the Fourth Proportional to 2,803.20, 3,867.84 and 2,278.32

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Solution

The fourth proportional to 2,803.20, 3,867.84 and 2,278.32 is: 3,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.20 : 3,867.84 = 2,278.32 : x
  2. Step 2: Convert to fraction form
    2,803.20/3,867.84 = 2,278.32/x
  3. Step 3: Cross multiply
    2,803.20x = 3,867.84 × 2,278.32
  4. Step 4: Simplify right side
    2,803.20x = 8,812,177.23
  5. Step 5: Solve for x
    x = 8,812,177.23/2,803.20
  6. Step 6: Final answer
    x = 3,143.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.