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Finding the Fourth Proportional to 2,002, 2,763.04 and 1,304.88

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Solution

The fourth proportional to 2,002, 2,763.04 and 1,304.88 is: 1,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 2,763.04 = 1,304.88 : x
  2. Step 2: Convert to fraction form
    2,002/2,763.04 = 1,304.88/x
  3. Step 3: Cross multiply
    2,002x = 2,763.04 × 1,304.88
  4. Step 4: Simplify right side
    2,002x = 3,605,435.64
  5. Step 5: Solve for x
    x = 3,605,435.64/2,002
  6. Step 6: Final answer
    x = 1,800.92

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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.