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Finding the Fourth Proportional to 3,194.92, 4,409.07 and 1,778.71

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Solution

The fourth proportional to 3,194.92, 4,409.07 and 1,778.71 is: 2,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.92 : 4,409.07 = 1,778.71 : x
  2. Step 2: Convert to fraction form
    3,194.92/4,409.07 = 1,778.71/x
  3. Step 3: Cross multiply
    3,194.92x = 4,409.07 × 1,778.71
  4. Step 4: Simplify right side
    3,194.92x = 7,842,425.96
  5. Step 5: Solve for x
    x = 7,842,425.96/3,194.92
  6. Step 6: Final answer
    x = 2,454.65

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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.