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Finding the Fourth Proportional to 3,296.78, 4,945.26 and 1,446.95

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Solution

The fourth proportional to 3,296.78, 4,945.26 and 1,446.95 is: 2,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.78 : 4,945.26 = 1,446.95 : x
  2. Step 2: Convert to fraction form
    3,296.78/4,945.26 = 1,446.95/x
  3. Step 3: Cross multiply
    3,296.78x = 4,945.26 × 1,446.95
  4. Step 4: Simplify right side
    3,296.78x = 7,155,543.96
  5. Step 5: Solve for x
    x = 7,155,543.96/3,296.78
  6. Step 6: Final answer
    x = 2,170.46

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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.