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Finding the Fourth Proportional to 2,149.60, 3,226.80 and 2,008.60

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Solution

The fourth proportional to 2,149.60, 3,226.80 and 2,008.60 is: 3,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.60 : 3,226.80 = 2,008.60 : x
  2. Step 2: Convert to fraction form
    2,149.60/3,226.80 = 2,008.60/x
  3. Step 3: Cross multiply
    2,149.60x = 3,226.80 × 2,008.60
  4. Step 4: Simplify right side
    2,149.60x = 6,481,350.48
  5. Step 5: Solve for x
    x = 6,481,350.48/2,149.60
  6. Step 6: Final answer
    x = 3,015.14

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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.