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Finding the Fourth Proportional to 2,168.90, 2,993.10 and 1,224.73

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Solution

The fourth proportional to 2,168.90, 2,993.10 and 1,224.73 is: 1,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.90 : 2,993.10 = 1,224.73 : x
  2. Step 2: Convert to fraction form
    2,168.90/2,993.10 = 1,224.73/x
  3. Step 3: Cross multiply
    2,168.90x = 2,993.10 × 1,224.73
  4. Step 4: Simplify right side
    2,168.90x = 3,665,739.36
  5. Step 5: Solve for x
    x = 3,665,739.36/2,168.90
  6. Step 6: Final answer
    x = 1,690.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.