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Finding the Fourth Proportional to 2,000.37, 2,998.83 and 766.92

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Solution

The fourth proportional to 2,000.37, 2,998.83 and 766.92 is: 1,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.37 : 2,998.83 = 766.92 : x
  2. Step 2: Convert to fraction form
    2,000.37/2,998.83 = 766.92/x
  3. Step 3: Cross multiply
    2,000.37x = 2,998.83 × 766.92
  4. Step 4: Simplify right side
    2,000.37x = 2,299,862.70
  5. Step 5: Solve for x
    x = 2,299,862.70/2,000.37
  6. Step 6: Final answer
    x = 1,149.72

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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.