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Finding the Fourth Proportional to 3,219, 4,442.49 and 2,039.64

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Solution

The fourth proportional to 3,219, 4,442.49 and 2,039.64 is: 2,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219 : 4,442.49 = 2,039.64 : x
  2. Step 2: Convert to fraction form
    3,219/4,442.49 = 2,039.64/x
  3. Step 3: Cross multiply
    3,219x = 4,442.49 × 2,039.64
  4. Step 4: Simplify right side
    3,219x = 9,061,080.30
  5. Step 5: Solve for x
    x = 9,061,080.30/3,219
  6. Step 6: Final answer
    x = 2,814.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.