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Finding the Fourth Proportional to 2,998.47, 4,492.23 and 2,209.78

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Solution

The fourth proportional to 2,998.47, 4,492.23 and 2,209.78 is: 3,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.47 : 4,492.23 = 2,209.78 : x
  2. Step 2: Convert to fraction form
    2,998.47/4,492.23 = 2,209.78/x
  3. Step 3: Cross multiply
    2,998.47x = 4,492.23 × 2,209.78
  4. Step 4: Simplify right side
    2,998.47x = 9,926,855.98
  5. Step 5: Solve for x
    x = 9,926,855.98/2,998.47
  6. Step 6: Final answer
    x = 3,310.64

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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.