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Finding the Fourth Proportional to 2,864.83, 4,290.90 and 2,201.83

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Solution

The fourth proportional to 2,864.83, 4,290.90 and 2,201.83 is: 3,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.83 : 4,290.90 = 2,201.83 : x
  2. Step 2: Convert to fraction form
    2,864.83/4,290.90 = 2,201.83/x
  3. Step 3: Cross multiply
    2,864.83x = 4,290.90 × 2,201.83
  4. Step 4: Simplify right side
    2,864.83x = 9,447,832.35
  5. Step 5: Solve for x
    x = 9,447,832.35/2,864.83
  6. Step 6: Final answer
    x = 3,297.87

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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.