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Finding the Fourth Proportional to 2,033.71, 3,050.31 and 863.49

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Solution

The fourth proportional to 2,033.71, 3,050.31 and 863.49 is: 1,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.71 : 3,050.31 = 863.49 : x
  2. Step 2: Convert to fraction form
    2,033.71/3,050.31 = 863.49/x
  3. Step 3: Cross multiply
    2,033.71x = 3,050.31 × 863.49
  4. Step 4: Simplify right side
    2,033.71x = 2,633,922.00
  5. Step 5: Solve for x
    x = 2,633,922.00/2,033.71
  6. Step 6: Final answer
    x = 1,295.13

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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.