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Finding the Fourth Proportional to 3,292.73, 4,934.74 and 1,729.54

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Solution

The fourth proportional to 3,292.73, 4,934.74 and 1,729.54 is: 2,592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.73 : 4,934.74 = 1,729.54 : x
  2. Step 2: Convert to fraction form
    3,292.73/4,934.74 = 1,729.54/x
  3. Step 3: Cross multiply
    3,292.73x = 4,934.74 × 1,729.54
  4. Step 4: Simplify right side
    3,292.73x = 8,534,800.25
  5. Step 5: Solve for x
    x = 8,534,800.25/3,292.73
  6. Step 6: Final answer
    x = 2,592.01

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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.