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Finding the Fourth Proportional to 2,478.62, 3,704.59 and 2,163.77

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Solution

The fourth proportional to 2,478.62, 3,704.59 and 2,163.77 is: 3,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.62 : 3,704.59 = 2,163.77 : x
  2. Step 2: Convert to fraction form
    2,478.62/3,704.59 = 2,163.77/x
  3. Step 3: Cross multiply
    2,478.62x = 3,704.59 × 2,163.77
  4. Step 4: Simplify right side
    2,478.62x = 8,015,851.36
  5. Step 5: Solve for x
    x = 8,015,851.36/2,478.62
  6. Step 6: Final answer
    x = 3,234.00

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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.