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Finding the Fourth Proportional to 2,200.68, 3,036.78 and 1,256.22

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Solution

The fourth proportional to 2,200.68, 3,036.78 and 1,256.22 is: 1,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.68 : 3,036.78 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    2,200.68/3,036.78 = 1,256.22/x
  3. Step 3: Cross multiply
    2,200.68x = 3,036.78 × 1,256.22
  4. Step 4: Simplify right side
    2,200.68x = 3,814,863.77
  5. Step 5: Solve for x
    x = 3,814,863.77/2,200.68
  6. Step 6: Final answer
    x = 1,733.49

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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.