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Finding the Fourth Proportional to 3,002, 4,141.60 and 1,882.48

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Solution

The fourth proportional to 3,002, 4,141.60 and 1,882.48 is: 2,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002 : 4,141.60 = 1,882.48 : x
  2. Step 2: Convert to fraction form
    3,002/4,141.60 = 1,882.48/x
  3. Step 3: Cross multiply
    3,002x = 4,141.60 × 1,882.48
  4. Step 4: Simplify right side
    3,002x = 7,796,479.17
  5. Step 5: Solve for x
    x = 7,796,479.17/3,002
  6. Step 6: Final answer
    x = 2,597.09

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Why These Related Problems?

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