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Finding the Fourth Proportional to 2,310.68, 3,449.37 and 2,146.64

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Solution

The fourth proportional to 2,310.68, 3,449.37 and 2,146.64 is: 3,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.68 : 3,449.37 = 2,146.64 : x
  2. Step 2: Convert to fraction form
    2,310.68/3,449.37 = 2,146.64/x
  3. Step 3: Cross multiply
    2,310.68x = 3,449.37 × 2,146.64
  4. Step 4: Simplify right side
    2,310.68x = 7,404,555.62
  5. Step 5: Solve for x
    x = 7,404,555.62/2,310.68
  6. Step 6: Final answer
    x = 3,204.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.