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Finding the Fourth Proportional to 2,863.85, 4,295.89 and 889.69

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Solution

The fourth proportional to 2,863.85, 4,295.89 and 889.69 is: 1,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.85 : 4,295.89 = 889.69 : x
  2. Step 2: Convert to fraction form
    2,863.85/4,295.89 = 889.69/x
  3. Step 3: Cross multiply
    2,863.85x = 4,295.89 × 889.69
  4. Step 4: Simplify right side
    2,863.85x = 3,821,997.41
  5. Step 5: Solve for x
    x = 3,821,997.41/2,863.85
  6. Step 6: Final answer
    x = 1,334.57

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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.