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Finding the Fourth Proportional to 1,249.36, 1,872.57 and 940.22

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Solution

The fourth proportional to 1,249.36, 1,872.57 and 940.22 is: 1,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.36 : 1,872.57 = 940.22 : x
  2. Step 2: Convert to fraction form
    1,249.36/1,872.57 = 940.22/x
  3. Step 3: Cross multiply
    1,249.36x = 1,872.57 × 940.22
  4. Step 4: Simplify right side
    1,249.36x = 1,760,627.77
  5. Step 5: Solve for x
    x = 1,760,627.77/1,249.36
  6. Step 6: Final answer
    x = 1,409.22

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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.