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Finding the Fourth Proportional to 2,324.39, 3,204.50 and 1,754.73

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Solution

The fourth proportional to 2,324.39, 3,204.50 and 1,754.73 is: 2,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.39 : 3,204.50 = 1,754.73 : x
  2. Step 2: Convert to fraction form
    2,324.39/3,204.50 = 1,754.73/x
  3. Step 3: Cross multiply
    2,324.39x = 3,204.50 × 1,754.73
  4. Step 4: Simplify right side
    2,324.39x = 5,623,023.51
  5. Step 5: Solve for x
    x = 5,623,023.51/2,324.39
  6. Step 6: Final answer
    x = 2,419.14

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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.