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Finding the Fourth Proportional to 2,002.53, 3,003.81 and 1,313.56

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Solution

The fourth proportional to 2,002.53, 3,003.81 and 1,313.56 is: 1,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.53 : 3,003.81 = 1,313.56 : x
  2. Step 2: Convert to fraction form
    2,002.53/3,003.81 = 1,313.56/x
  3. Step 3: Cross multiply
    2,002.53x = 3,003.81 × 1,313.56
  4. Step 4: Simplify right side
    2,002.53x = 3,945,663.08
  5. Step 5: Solve for x
    x = 3,945,663.08/2,002.53
  6. Step 6: Final answer
    x = 1,970.34

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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.