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Finding the Fourth Proportional to 2,841.27, 3,920.96 and 1,662.57

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Solution

The fourth proportional to 2,841.27, 3,920.96 and 1,662.57 is: 2,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.27 : 3,920.96 = 1,662.57 : x
  2. Step 2: Convert to fraction form
    2,841.27/3,920.96 = 1,662.57/x
  3. Step 3: Cross multiply
    2,841.27x = 3,920.96 × 1,662.57
  4. Step 4: Simplify right side
    2,841.27x = 6,518,842.55
  5. Step 5: Solve for x
    x = 6,518,842.55/2,841.27
  6. Step 6: Final answer
    x = 2,294.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.