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Finding the Fourth Proportional to 2,776.25, 4,166.81 and 2,343.71

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Solution

The fourth proportional to 2,776.25, 4,166.81 and 2,343.71 is: 3,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.25 : 4,166.81 = 2,343.71 : x
  2. Step 2: Convert to fraction form
    2,776.25/4,166.81 = 2,343.71/x
  3. Step 3: Cross multiply
    2,776.25x = 4,166.81 × 2,343.71
  4. Step 4: Simplify right side
    2,776.25x = 9,765,761.71
  5. Step 5: Solve for x
    x = 9,765,761.71/2,776.25
  6. Step 6: Final answer
    x = 3,517.62

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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.