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Finding the Fourth Proportional to 2,251.33, 3,106.96 and 1,256.99

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Solution

The fourth proportional to 2,251.33, 3,106.96 and 1,256.99 is: 1,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.33 : 3,106.96 = 1,256.99 : x
  2. Step 2: Convert to fraction form
    2,251.33/3,106.96 = 1,256.99/x
  3. Step 3: Cross multiply
    2,251.33x = 3,106.96 × 1,256.99
  4. Step 4: Simplify right side
    2,251.33x = 3,905,398.97
  5. Step 5: Solve for x
    x = 3,905,398.97/2,251.33
  6. Step 6: Final answer
    x = 1,734.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.