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Finding the Fourth Proportional to 2,003.02, 3,002.49 and 1,310.14

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Solution

The fourth proportional to 2,003.02, 3,002.49 and 1,310.14 is: 1,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.02 : 3,002.49 = 1,310.14 : x
  2. Step 2: Convert to fraction form
    2,003.02/3,002.49 = 1,310.14/x
  3. Step 3: Cross multiply
    2,003.02x = 3,002.49 × 1,310.14
  4. Step 4: Simplify right side
    2,003.02x = 3,933,682.25
  5. Step 5: Solve for x
    x = 3,933,682.25/2,003.02
  6. Step 6: Final answer
    x = 1,963.88

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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.