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Finding the Fourth Proportional to 2,002.39, 3,003.53 and 905.99

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Solution

The fourth proportional to 2,002.39, 3,003.53 and 905.99 is: 1,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.39 : 3,003.53 = 905.99 : x
  2. Step 2: Convert to fraction form
    2,002.39/3,003.53 = 905.99/x
  3. Step 3: Cross multiply
    2,002.39x = 3,003.53 × 905.99
  4. Step 4: Simplify right side
    2,002.39x = 2,721,148.60
  5. Step 5: Solve for x
    x = 2,721,148.60/2,002.39
  6. Step 6: Final answer
    x = 1,358.95

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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.