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Finding the Fourth Proportional to 2,200.06, 3,036.17 and 1,256

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Solution

The fourth proportional to 2,200.06, 3,036.17 and 1,256 is: 1,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.06 : 3,036.17 = 1,256 : x
  2. Step 2: Convert to fraction form
    2,200.06/3,036.17 = 1,256/x
  3. Step 3: Cross multiply
    2,200.06x = 3,036.17 × 1,256
  4. Step 4: Simplify right side
    2,200.06x = 3,813,423.24
  5. Step 5: Solve for x
    x = 3,813,423.24/2,200.06
  6. Step 6: Final answer
    x = 1,733.33

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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.