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Finding the Fourth Proportional to 3,064.60, 4,227.93 and 2,002.02

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Solution

The fourth proportional to 3,064.60, 4,227.93 and 2,002.02 is: 2,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.60 : 4,227.93 = 2,002.02 : x
  2. Step 2: Convert to fraction form
    3,064.60/4,227.93 = 2,002.02/x
  3. Step 3: Cross multiply
    3,064.60x = 4,227.93 × 2,002.02
  4. Step 4: Simplify right side
    3,064.60x = 8,464,400.42
  5. Step 5: Solve for x
    x = 8,464,400.42/3,064.60
  6. Step 6: Final answer
    x = 2,761.99

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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.