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Finding the Fourth Proportional to 3,196.77, 4,793.53 and 1,463.91

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Solution

The fourth proportional to 3,196.77, 4,793.53 and 1,463.91 is: 2,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.77 : 4,793.53 = 1,463.91 : x
  2. Step 2: Convert to fraction form
    3,196.77/4,793.53 = 1,463.91/x
  3. Step 3: Cross multiply
    3,196.77x = 4,793.53 × 1,463.91
  4. Step 4: Simplify right side
    3,196.77x = 7,017,292.84
  5. Step 5: Solve for x
    x = 7,017,292.84/3,196.77
  6. Step 6: Final answer
    x = 2,195.12

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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.