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Finding the Fourth Proportional to 2,760.34, 4,140.64 and 911.41

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Solution

The fourth proportional to 2,760.34, 4,140.64 and 911.41 is: 1,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.34 : 4,140.64 = 911.41 : x
  2. Step 2: Convert to fraction form
    2,760.34/4,140.64 = 911.41/x
  3. Step 3: Cross multiply
    2,760.34x = 4,140.64 × 911.41
  4. Step 4: Simplify right side
    2,760.34x = 3,773,843.17
  5. Step 5: Solve for x
    x = 3,773,843.17/2,760.34
  6. Step 6: Final answer
    x = 1,367.17

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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.