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Finding the Fourth Proportional to 2,250, 3,105.53 and 1,504.26

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Solution

The fourth proportional to 2,250, 3,105.53 and 1,504.26 is: 2,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 3,105.53 = 1,504.26 : x
  2. Step 2: Convert to fraction form
    2,250/3,105.53 = 1,504.26/x
  3. Step 3: Cross multiply
    2,250x = 3,105.53 × 1,504.26
  4. Step 4: Simplify right side
    2,250x = 4,671,517.04
  5. Step 5: Solve for x
    x = 4,671,517.04/2,250
  6. Step 6: Final answer
    x = 2,076.23

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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.