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Finding the Fourth Proportional to 2,002.74, 3,004.11 and 1,896.12

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Solution

The fourth proportional to 2,002.74, 3,004.11 and 1,896.12 is: 2,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.74 : 3,004.11 = 1,896.12 : x
  2. Step 2: Convert to fraction form
    2,002.74/3,004.11 = 1,896.12/x
  3. Step 3: Cross multiply
    2,002.74x = 3,004.11 × 1,896.12
  4. Step 4: Simplify right side
    2,002.74x = 5,696,153.05
  5. Step 5: Solve for x
    x = 5,696,153.05/2,002.74
  6. Step 6: Final answer
    x = 2,844.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.