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Finding the Fourth Proportional to 2,741.74, 4,112.07 and 794.14

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Solution

The fourth proportional to 2,741.74, 4,112.07 and 794.14 is: 1,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.74 : 4,112.07 = 794.14 : x
  2. Step 2: Convert to fraction form
    2,741.74/4,112.07 = 794.14/x
  3. Step 3: Cross multiply
    2,741.74x = 4,112.07 × 794.14
  4. Step 4: Simplify right side
    2,741.74x = 3,265,559.27
  5. Step 5: Solve for x
    x = 3,265,559.27/2,741.74
  6. Step 6: Final answer
    x = 1,191.05

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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.