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Finding the Fourth Proportional to 2,760.96, 4,140.96 and 2,212.32

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Solution

The fourth proportional to 2,760.96, 4,140.96 and 2,212.32 is: 3,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.96 : 4,140.96 = 2,212.32 : x
  2. Step 2: Convert to fraction form
    2,760.96/4,140.96 = 2,212.32/x
  3. Step 3: Cross multiply
    2,760.96x = 4,140.96 × 2,212.32
  4. Step 4: Simplify right side
    2,760.96x = 9,161,128.63
  5. Step 5: Solve for x
    x = 9,161,128.63/2,760.96
  6. Step 6: Final answer
    x = 3,318.10

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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.