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Finding the Fourth Proportional to 3,194.52, 4,793.64 and 1,345.52

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Solution

The fourth proportional to 3,194.52, 4,793.64 and 1,345.52 is: 2,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.52 : 4,793.64 = 1,345.52 : x
  2. Step 2: Convert to fraction form
    3,194.52/4,793.64 = 1,345.52/x
  3. Step 3: Cross multiply
    3,194.52x = 4,793.64 × 1,345.52
  4. Step 4: Simplify right side
    3,194.52x = 6,449,938.49
  5. Step 5: Solve for x
    x = 6,449,938.49/3,194.52
  6. Step 6: Final answer
    x = 2,019.06

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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.