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Finding the Fourth Proportional to 3,195, 4,791.06 and 1,247.16

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Solution

The fourth proportional to 3,195, 4,791.06 and 1,247.16 is: 1,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195 : 4,791.06 = 1,247.16 : x
  2. Step 2: Convert to fraction form
    3,195/4,791.06 = 1,247.16/x
  3. Step 3: Cross multiply
    3,195x = 4,791.06 × 1,247.16
  4. Step 4: Simplify right side
    3,195x = 5,975,218.39
  5. Step 5: Solve for x
    x = 5,975,218.39/3,195
  6. Step 6: Final answer
    x = 1,870.18

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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.