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Finding the Fourth Proportional to 2,760.88, 4,140.44 and 911.65

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Solution

The fourth proportional to 2,760.88, 4,140.44 and 911.65 is: 1,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.88 : 4,140.44 = 911.65 : x
  2. Step 2: Convert to fraction form
    2,760.88/4,140.44 = 911.65/x
  3. Step 3: Cross multiply
    2,760.88x = 4,140.44 × 911.65
  4. Step 4: Simplify right side
    2,760.88x = 3,774,620.64
  5. Step 5: Solve for x
    x = 3,774,620.64/2,760.88
  6. Step 6: Final answer
    x = 1,367.18

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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.