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Finding the Fourth Proportional to 2,859.03, 4,282.74 and 2,202.12

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Solution

The fourth proportional to 2,859.03, 4,282.74 and 2,202.12 is: 3,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.03 : 4,282.74 = 2,202.12 : x
  2. Step 2: Convert to fraction form
    2,859.03/4,282.74 = 2,202.12/x
  3. Step 3: Cross multiply
    2,859.03x = 4,282.74 × 2,202.12
  4. Step 4: Simplify right side
    2,859.03x = 9,431,107.41
  5. Step 5: Solve for x
    x = 9,431,107.41/2,859.03
  6. Step 6: Final answer
    x = 3,298.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.