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Finding the Fourth Proportional to 2,741.76, 4,112.86 and 892.84

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Solution

The fourth proportional to 2,741.76, 4,112.86 and 892.84 is: 1,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.76 : 4,112.86 = 892.84 : x
  2. Step 2: Convert to fraction form
    2,741.76/4,112.86 = 892.84/x
  3. Step 3: Cross multiply
    2,741.76x = 4,112.86 × 892.84
  4. Step 4: Simplify right side
    2,741.76x = 3,672,125.92
  5. Step 5: Solve for x
    x = 3,672,125.92/2,741.76
  6. Step 6: Final answer
    x = 1,339.33

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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.