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Finding the Fourth Proportional to 2,799.72, 4,194.10 and 2,559.14

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Solution

The fourth proportional to 2,799.72, 4,194.10 and 2,559.14 is: 3,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.72 : 4,194.10 = 2,559.14 : x
  2. Step 2: Convert to fraction form
    2,799.72/4,194.10 = 2,559.14/x
  3. Step 3: Cross multiply
    2,799.72x = 4,194.10 × 2,559.14
  4. Step 4: Simplify right side
    2,799.72x = 10,733,289.07
  5. Step 5: Solve for x
    x = 10,733,289.07/2,799.72
  6. Step 6: Final answer
    x = 3,833.70

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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.