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Finding the Fourth Proportional to 2,000.80, 2,998.80 and 1,794.40

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Solution

The fourth proportional to 2,000.80, 2,998.80 and 1,794.40 is: 2,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.80 : 2,998.80 = 1,794.40 : x
  2. Step 2: Convert to fraction form
    2,000.80/2,998.80 = 1,794.40/x
  3. Step 3: Cross multiply
    2,000.80x = 2,998.80 × 1,794.40
  4. Step 4: Simplify right side
    2,000.80x = 5,381,046.72
  5. Step 5: Solve for x
    x = 5,381,046.72/2,000.80
  6. Step 6: Final answer
    x = 2,689.45

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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.