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Finding the Fourth Proportional to 2,194.92, 3,028.14 and 1,409.40

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Solution

The fourth proportional to 2,194.92, 3,028.14 and 1,409.40 is: 1,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.92 : 3,028.14 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    2,194.92/3,028.14 = 1,409.40/x
  3. Step 3: Cross multiply
    2,194.92x = 3,028.14 × 1,409.40
  4. Step 4: Simplify right side
    2,194.92x = 4,267,860.52
  5. Step 5: Solve for x
    x = 4,267,860.52/2,194.92
  6. Step 6: Final answer
    x = 1,944.43

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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.