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Finding the Fourth Proportional to 3,064.74, 4,226.88 and 2,002.42

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Solution

The fourth proportional to 3,064.74, 4,226.88 and 2,002.42 is: 2,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.74 : 4,226.88 = 2,002.42 : x
  2. Step 2: Convert to fraction form
    3,064.74/4,226.88 = 2,002.42/x
  3. Step 3: Cross multiply
    3,064.74x = 4,226.88 × 2,002.42
  4. Step 4: Simplify right side
    3,064.74x = 8,463,989.05
  5. Step 5: Solve for x
    x = 8,463,989.05/3,064.74
  6. Step 6: Final answer
    x = 2,761.73

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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.