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Finding the Fourth Proportional to 2,760.42, 4,140.23 and 911.60

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Solution

The fourth proportional to 2,760.42, 4,140.23 and 911.60 is: 1,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.42 : 4,140.23 = 911.60 : x
  2. Step 2: Convert to fraction form
    2,760.42/4,140.23 = 911.60/x
  3. Step 3: Cross multiply
    2,760.42x = 4,140.23 × 911.60
  4. Step 4: Simplify right side
    2,760.42x = 3,774,229.06
  5. Step 5: Solve for x
    x = 3,774,229.06/2,760.42
  6. Step 6: Final answer
    x = 1,367.26

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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.