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Finding the Fourth Proportional to 3,364.13, 4,646.13 and 2,249.78

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Solution

The fourth proportional to 3,364.13, 4,646.13 and 2,249.78 is: 3,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.13 : 4,646.13 = 2,249.78 : x
  2. Step 2: Convert to fraction form
    3,364.13/4,646.13 = 2,249.78/x
  3. Step 3: Cross multiply
    3,364.13x = 4,646.13 × 2,249.78
  4. Step 4: Simplify right side
    3,364.13x = 10,452,770.35
  5. Step 5: Solve for x
    x = 10,452,770.35/3,364.13
  6. Step 6: Final answer
    x = 3,107.12

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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.