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Finding the Fourth Proportional to 2,186.32, 3,277.05 and 798.52

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Solution

The fourth proportional to 2,186.32, 3,277.05 and 798.52 is: 1,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.32 : 3,277.05 = 798.52 : x
  2. Step 2: Convert to fraction form
    2,186.32/3,277.05 = 798.52/x
  3. Step 3: Cross multiply
    2,186.32x = 3,277.05 × 798.52
  4. Step 4: Simplify right side
    2,186.32x = 2,616,789.97
  5. Step 5: Solve for x
    x = 2,616,789.97/2,186.32
  6. Step 6: Final answer
    x = 1,196.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.