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Finding the Fourth Proportional to 2,250, 3,104.13 and 1,410.36

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Solution

The fourth proportional to 2,250, 3,104.13 and 1,410.36 is: 1,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 3,104.13 = 1,410.36 : x
  2. Step 2: Convert to fraction form
    2,250/3,104.13 = 1,410.36/x
  3. Step 3: Cross multiply
    2,250x = 3,104.13 × 1,410.36
  4. Step 4: Simplify right side
    2,250x = 4,377,940.79
  5. Step 5: Solve for x
    x = 4,377,940.79/2,250
  6. Step 6: Final answer
    x = 1,945.75

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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.