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Finding the Fourth Proportional to 3,195.88, 4,797.66 and 1,897.96

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Solution

The fourth proportional to 3,195.88, 4,797.66 and 1,897.96 is: 2,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.88 : 4,797.66 = 1,897.96 : x
  2. Step 2: Convert to fraction form
    3,195.88/4,797.66 = 1,897.96/x
  3. Step 3: Cross multiply
    3,195.88x = 4,797.66 × 1,897.96
  4. Step 4: Simplify right side
    3,195.88x = 9,105,766.77
  5. Step 5: Solve for x
    x = 9,105,766.77/3,195.88
  6. Step 6: Final answer
    x = 2,849.22

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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.