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Finding the Fourth Proportional to 2,022.40, 2,790.40 and 1,194.24

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Solution

The fourth proportional to 2,022.40, 2,790.40 and 1,194.24 is: 1,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.40 : 2,790.40 = 1,194.24 : x
  2. Step 2: Convert to fraction form
    2,022.40/2,790.40 = 1,194.24/x
  3. Step 3: Cross multiply
    2,022.40x = 2,790.40 × 1,194.24
  4. Step 4: Simplify right side
    2,022.40x = 3,332,407.30
  5. Step 5: Solve for x
    x = 3,332,407.30/2,022.40
  6. Step 6: Final answer
    x = 1,647.75

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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.