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Finding the Fourth Proportional to 2,647.14, 3,971.24 and 798.17

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Solution

The fourth proportional to 2,647.14, 3,971.24 and 798.17 is: 1,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.14 : 3,971.24 = 798.17 : x
  2. Step 2: Convert to fraction form
    2,647.14/3,971.24 = 798.17/x
  3. Step 3: Cross multiply
    2,647.14x = 3,971.24 × 798.17
  4. Step 4: Simplify right side
    2,647.14x = 3,169,700.78
  5. Step 5: Solve for x
    x = 3,169,700.78/2,647.14
  6. Step 6: Final answer
    x = 1,197.41

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1.5x scale

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.