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Finding the Fourth Proportional to 2,250.71, 3,105.95 and 1,256.01

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Solution

The fourth proportional to 2,250.71, 3,105.95 and 1,256.01 is: 1,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.71 : 3,105.95 = 1,256.01 : x
  2. Step 2: Convert to fraction form
    2,250.71/3,105.95 = 1,256.01/x
  3. Step 3: Cross multiply
    2,250.71x = 3,105.95 × 1,256.01
  4. Step 4: Simplify right side
    2,250.71x = 3,901,086.33
  5. Step 5: Solve for x
    x = 3,901,086.33/2,250.71
  6. Step 6: Final answer
    x = 1,733.27

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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.