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Finding the Fourth Proportional to 2,033.62, 3,048.04 and 863.27

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Solution

The fourth proportional to 2,033.62, 3,048.04 and 863.27 is: 1,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.62 : 3,048.04 = 863.27 : x
  2. Step 2: Convert to fraction form
    2,033.62/3,048.04 = 863.27/x
  3. Step 3: Cross multiply
    2,033.62x = 3,048.04 × 863.27
  4. Step 4: Simplify right side
    2,033.62x = 2,631,281.49
  5. Step 5: Solve for x
    x = 2,631,281.49/2,033.62
  6. Step 6: Final answer
    x = 1,293.89

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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.