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Finding the Fourth Proportional to 2,000.11, 2,759.73 and 1,160.71

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Solution

The fourth proportional to 2,000.11, 2,759.73 and 1,160.71 is: 1,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.11 : 2,759.73 = 1,160.71 : x
  2. Step 2: Convert to fraction form
    2,000.11/2,759.73 = 1,160.71/x
  3. Step 3: Cross multiply
    2,000.11x = 2,759.73 × 1,160.71
  4. Step 4: Simplify right side
    2,000.11x = 3,203,246.21
  5. Step 5: Solve for x
    x = 3,203,246.21/2,000.11
  6. Step 6: Final answer
    x = 1,601.54

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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.