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Finding the Fourth Proportional to 3,226.41, 4,839.60 and 886.44

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Solution

The fourth proportional to 3,226.41, 4,839.60 and 886.44 is: 1,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.41 : 4,839.60 = 886.44 : x
  2. Step 2: Convert to fraction form
    3,226.41/4,839.60 = 886.44/x
  3. Step 3: Cross multiply
    3,226.41x = 4,839.60 × 886.44
  4. Step 4: Simplify right side
    3,226.41x = 4,290,015.02
  5. Step 5: Solve for x
    x = 4,290,015.02/3,226.41
  6. Step 6: Final answer
    x = 1,329.66

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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.