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Finding the Fourth Proportional to 2,797.38, 3,860.18 and 1,618.22

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Solution

The fourth proportional to 2,797.38, 3,860.18 and 1,618.22 is: 2,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.38 : 3,860.18 = 1,618.22 : x
  2. Step 2: Convert to fraction form
    2,797.38/3,860.18 = 1,618.22/x
  3. Step 3: Cross multiply
    2,797.38x = 3,860.18 × 1,618.22
  4. Step 4: Simplify right side
    2,797.38x = 6,246,622.04
  5. Step 5: Solve for x
    x = 6,246,622.04/2,797.38
  6. Step 6: Final answer
    x = 2,233.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.