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Finding the Fourth Proportional to 2,760.09, 3,812.24 and 2,012.87

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Solution

The fourth proportional to 2,760.09, 3,812.24 and 2,012.87 is: 2,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.09 : 3,812.24 = 2,012.87 : x
  2. Step 2: Convert to fraction form
    2,760.09/3,812.24 = 2,012.87/x
  3. Step 3: Cross multiply
    2,760.09x = 3,812.24 × 2,012.87
  4. Step 4: Simplify right side
    2,760.09x = 7,673,529.50
  5. Step 5: Solve for x
    x = 7,673,529.50/2,760.09
  6. Step 6: Final answer
    x = 2,780.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.