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Finding the Fourth Proportional to 2,797.56, 4,194.54 and 2,407.68

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Solution

The fourth proportional to 2,797.56, 4,194.54 and 2,407.68 is: 3,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.56 : 4,194.54 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    2,797.56/4,194.54 = 2,407.68/x
  3. Step 3: Cross multiply
    2,797.56x = 4,194.54 × 2,407.68
  4. Step 4: Simplify right side
    2,797.56x = 10,099,110.07
  5. Step 5: Solve for x
    x = 10,099,110.07/2,797.56
  6. Step 6: Final answer
    x = 3,609.97

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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.