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Finding the Fourth Proportional to 2,351.97, 3,525.68 and 1,119.05

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Solution

The fourth proportional to 2,351.97, 3,525.68 and 1,119.05 is: 1,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.97 : 3,525.68 = 1,119.05 : x
  2. Step 2: Convert to fraction form
    2,351.97/3,525.68 = 1,119.05/x
  3. Step 3: Cross multiply
    2,351.97x = 3,525.68 × 1,119.05
  4. Step 4: Simplify right side
    2,351.97x = 3,945,404.30
  5. Step 5: Solve for x
    x = 3,945,404.30/2,351.97
  6. Step 6: Final answer
    x = 1,677.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.