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Finding the Fourth Proportional to 3,164.78, 4,747.77 and 1,216.84

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Solution

The fourth proportional to 3,164.78, 4,747.77 and 1,216.84 is: 1,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.78 : 4,747.77 = 1,216.84 : x
  2. Step 2: Convert to fraction form
    3,164.78/4,747.77 = 1,216.84/x
  3. Step 3: Cross multiply
    3,164.78x = 4,747.77 × 1,216.84
  4. Step 4: Simplify right side
    3,164.78x = 5,777,276.45
  5. Step 5: Solve for x
    x = 5,777,276.45/3,164.78
  6. Step 6: Final answer
    x = 1,825.49

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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.