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Finding the Fourth Proportional to 2,742.26, 4,113.48 and 794.48

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Solution

The fourth proportional to 2,742.26, 4,113.48 and 794.48 is: 1,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.26 : 4,113.48 = 794.48 : x
  2. Step 2: Convert to fraction form
    2,742.26/4,113.48 = 794.48/x
  3. Step 3: Cross multiply
    2,742.26x = 4,113.48 × 794.48
  4. Step 4: Simplify right side
    2,742.26x = 3,268,077.59
  5. Step 5: Solve for x
    x = 3,268,077.59/2,742.26
  6. Step 6: Final answer
    x = 1,191.75

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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.