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Finding the Fourth Proportional to 2,478.12, 3,703.84 and 2,163.27

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Solution

The fourth proportional to 2,478.12, 3,703.84 and 2,163.27 is: 3,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.12 : 3,703.84 = 2,163.27 : x
  2. Step 2: Convert to fraction form
    2,478.12/3,703.84 = 2,163.27/x
  3. Step 3: Cross multiply
    2,478.12x = 3,703.84 × 2,163.27
  4. Step 4: Simplify right side
    2,478.12x = 8,012,387.44
  5. Step 5: Solve for x
    x = 8,012,387.44/2,478.12
  6. Step 6: Final answer
    x = 3,233.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.