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Finding the Fourth Proportional to 2,741.54, 4,112.95 and 793.69

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Solution

The fourth proportional to 2,741.54, 4,112.95 and 793.69 is: 1,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.54 : 4,112.95 = 793.69 : x
  2. Step 2: Convert to fraction form
    2,741.54/4,112.95 = 793.69/x
  3. Step 3: Cross multiply
    2,741.54x = 4,112.95 × 793.69
  4. Step 4: Simplify right side
    2,741.54x = 3,264,407.29
  5. Step 5: Solve for x
    x = 3,264,407.29/2,741.54
  6. Step 6: Final answer
    x = 1,190.72

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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.