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Finding the Fourth Proportional to 2,249.84, 3,375.42 and 1,155

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Solution

The fourth proportional to 2,249.84, 3,375.42 and 1,155 is: 1,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.84 : 3,375.42 = 1,155 : x
  2. Step 2: Convert to fraction form
    2,249.84/3,375.42 = 1,155/x
  3. Step 3: Cross multiply
    2,249.84x = 3,375.42 × 1,155
  4. Step 4: Simplify right side
    2,249.84x = 3,898,610.10
  5. Step 5: Solve for x
    x = 3,898,610.10/2,249.84
  6. Step 6: Final answer
    x = 1,732.84

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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.