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Finding the Fourth Proportional to 2,761.39, 4,141.05 and 911.95

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Solution

The fourth proportional to 2,761.39, 4,141.05 and 911.95 is: 1,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.39 : 4,141.05 = 911.95 : x
  2. Step 2: Convert to fraction form
    2,761.39/4,141.05 = 911.95/x
  3. Step 3: Cross multiply
    2,761.39x = 4,141.05 × 911.95
  4. Step 4: Simplify right side
    2,761.39x = 3,776,430.55
  5. Step 5: Solve for x
    x = 3,776,430.55/2,761.39
  6. Step 6: Final answer
    x = 1,367.58

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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.