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Finding the Fourth Proportional to 2,412.52, 3,324.82 and 1,969

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Solution

The fourth proportional to 2,412.52, 3,324.82 and 1,969 is: 2,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.52 : 3,324.82 = 1,969 : x
  2. Step 2: Convert to fraction form
    2,412.52/3,324.82 = 1,969/x
  3. Step 3: Cross multiply
    2,412.52x = 3,324.82 × 1,969
  4. Step 4: Simplify right side
    2,412.52x = 6,546,570.58
  5. Step 5: Solve for x
    x = 6,546,570.58/2,412.52
  6. Step 6: Final answer
    x = 2,713.58

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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.