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Finding the Fourth Proportional to 2,741.87, 4,113.03 and 794.09

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Solution

The fourth proportional to 2,741.87, 4,113.03 and 794.09 is: 1,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.87 : 4,113.03 = 794.09 : x
  2. Step 2: Convert to fraction form
    2,741.87/4,113.03 = 794.09/x
  3. Step 3: Cross multiply
    2,741.87x = 4,113.03 × 794.09
  4. Step 4: Simplify right side
    2,741.87x = 3,266,115.99
  5. Step 5: Solve for x
    x = 3,266,115.99/2,741.87
  6. Step 6: Final answer
    x = 1,191.20

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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.