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Finding the Fourth Proportional to 2,000.80, 3,000.14 and 766.97

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Solution

The fourth proportional to 2,000.80, 3,000.14 and 766.97 is: 1,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.80 : 3,000.14 = 766.97 : x
  2. Step 2: Convert to fraction form
    2,000.80/3,000.14 = 766.97/x
  3. Step 3: Cross multiply
    2,000.80x = 3,000.14 × 766.97
  4. Step 4: Simplify right side
    2,000.80x = 2,301,012.67
  5. Step 5: Solve for x
    x = 2,301,012.67/2,000.80
  6. Step 6: Final answer
    x = 1,150.05

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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.