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Finding the Fourth Proportional to 3,441.42, 4,749.03 and 1,949.13

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Solution

The fourth proportional to 3,441.42, 4,749.03 and 1,949.13 is: 2,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.42 : 4,749.03 = 1,949.13 : x
  2. Step 2: Convert to fraction form
    3,441.42/4,749.03 = 1,949.13/x
  3. Step 3: Cross multiply
    3,441.42x = 4,749.03 × 1,949.13
  4. Step 4: Simplify right side
    3,441.42x = 9,256,476.84
  5. Step 5: Solve for x
    x = 9,256,476.84/3,441.42
  6. Step 6: Final answer
    x = 2,689.73

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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.