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Finding the Fourth Proportional to 2,741.96, 4,113.42 and 892.88

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Solution

The fourth proportional to 2,741.96, 4,113.42 and 892.88 is: 1,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.96 : 4,113.42 = 892.88 : x
  2. Step 2: Convert to fraction form
    2,741.96/4,113.42 = 892.88/x
  3. Step 3: Cross multiply
    2,741.96x = 4,113.42 × 892.88
  4. Step 4: Simplify right side
    2,741.96x = 3,672,790.45
  5. Step 5: Solve for x
    x = 3,672,790.45/2,741.96
  6. Step 6: Final answer
    x = 1,339.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.