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Finding the Fourth Proportional to 2,310.29, 3,189.87 and 2,164.49

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Solution

The fourth proportional to 2,310.29, 3,189.87 and 2,164.49 is: 2,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.29 : 3,189.87 = 2,164.49 : x
  2. Step 2: Convert to fraction form
    2,310.29/3,189.87 = 2,164.49/x
  3. Step 3: Cross multiply
    2,310.29x = 3,189.87 × 2,164.49
  4. Step 4: Simplify right side
    2,310.29x = 6,904,425.77
  5. Step 5: Solve for x
    x = 6,904,425.77/2,310.29
  6. Step 6: Final answer
    x = 2,988.56

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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.