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Finding the Fourth Proportional to 2,000.08, 2,998.98 and 766.72

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Solution

The fourth proportional to 2,000.08, 2,998.98 and 766.72 is: 1,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.08 : 2,998.98 = 766.72 : x
  2. Step 2: Convert to fraction form
    2,000.08/2,998.98 = 766.72/x
  3. Step 3: Cross multiply
    2,000.08x = 2,998.98 × 766.72
  4. Step 4: Simplify right side
    2,000.08x = 2,299,377.95
  5. Step 5: Solve for x
    x = 2,299,377.95/2,000.08
  6. Step 6: Final answer
    x = 1,149.64

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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.