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Finding the Fourth Proportional to 2,981.86, 4,464.54 and 2,249.22

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Solution

The fourth proportional to 2,981.86, 4,464.54 and 2,249.22 is: 3,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.86 : 4,464.54 = 2,249.22 : x
  2. Step 2: Convert to fraction form
    2,981.86/4,464.54 = 2,249.22/x
  3. Step 3: Cross multiply
    2,981.86x = 4,464.54 × 2,249.22
  4. Step 4: Simplify right side
    2,981.86x = 10,041,732.66
  5. Step 5: Solve for x
    x = 10,041,732.66/2,981.86
  6. Step 6: Final answer
    x = 3,367.61

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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.