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Finding the Fourth Proportional to 2,195.97, 3,293.87 and 552.50

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Solution

The fourth proportional to 2,195.97, 3,293.87 and 552.50 is: 828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.97 : 3,293.87 = 552.50 : x
  2. Step 2: Convert to fraction form
    2,195.97/3,293.87 = 552.50/x
  3. Step 3: Cross multiply
    2,195.97x = 3,293.87 × 552.50
  4. Step 4: Simplify right side
    2,195.97x = 1,819,848.09
  5. Step 5: Solve for x
    x = 1,819,848.09/2,195.97
  6. Step 6: Final answer
    x = 828.72

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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.