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Finding the Fourth Proportional to 3,191.76, 4,404.84 and 1,794.50

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Solution

The fourth proportional to 3,191.76, 4,404.84 and 1,794.50 is: 2,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.76 : 4,404.84 = 1,794.50 : x
  2. Step 2: Convert to fraction form
    3,191.76/4,404.84 = 1,794.50/x
  3. Step 3: Cross multiply
    3,191.76x = 4,404.84 × 1,794.50
  4. Step 4: Simplify right side
    3,191.76x = 7,904,485.38
  5. Step 5: Solve for x
    x = 7,904,485.38/3,191.76
  6. Step 6: Final answer
    x = 2,476.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.