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Finding the Fourth Proportional to 2,151.84, 3,229.08 and 1,164.22

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Solution

The fourth proportional to 2,151.84, 3,229.08 and 1,164.22 is: 1,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.84 : 3,229.08 = 1,164.22 : x
  2. Step 2: Convert to fraction form
    2,151.84/3,229.08 = 1,164.22/x
  3. Step 3: Cross multiply
    2,151.84x = 3,229.08 × 1,164.22
  4. Step 4: Simplify right side
    2,151.84x = 3,759,351.44
  5. Step 5: Solve for x
    x = 3,759,351.44/2,151.84
  6. Step 6: Final answer
    x = 1,747.04

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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.