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Finding the Fourth Proportional to 2,251.54, 3,107.13 and 1,256.82

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Solution

The fourth proportional to 2,251.54, 3,107.13 and 1,256.82 is: 1,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.54 : 3,107.13 = 1,256.82 : x
  2. Step 2: Convert to fraction form
    2,251.54/3,107.13 = 1,256.82/x
  3. Step 3: Cross multiply
    2,251.54x = 3,107.13 × 1,256.82
  4. Step 4: Simplify right side
    2,251.54x = 3,905,081.31
  5. Step 5: Solve for x
    x = 3,905,081.31/2,251.54
  6. Step 6: Final answer
    x = 1,734.41

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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.