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Finding the Fourth Proportional to 2,249.76, 3,104.88 and 1,255.13

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Solution

The fourth proportional to 2,249.76, 3,104.88 and 1,255.13 is: 1,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.76 : 3,104.88 = 1,255.13 : x
  2. Step 2: Convert to fraction form
    2,249.76/3,104.88 = 1,255.13/x
  3. Step 3: Cross multiply
    2,249.76x = 3,104.88 × 1,255.13
  4. Step 4: Simplify right side
    2,249.76x = 3,897,026.51
  5. Step 5: Solve for x
    x = 3,897,026.51/2,249.76
  6. Step 6: Final answer
    x = 1,732.20

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1.5x scale

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.