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Finding the Fourth Proportional to 2,939.46, 4,408.29 and 859.62

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Solution

The fourth proportional to 2,939.46, 4,408.29 and 859.62 is: 1,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.46 : 4,408.29 = 859.62 : x
  2. Step 2: Convert to fraction form
    2,939.46/4,408.29 = 859.62/x
  3. Step 3: Cross multiply
    2,939.46x = 4,408.29 × 859.62
  4. Step 4: Simplify right side
    2,939.46x = 3,789,454.25
  5. Step 5: Solve for x
    x = 3,789,454.25/2,939.46
  6. Step 6: Final answer
    x = 1,289.17

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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.