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Finding the Fourth Proportional to 2,002.54, 2,998.94 and 1,222.92

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Solution

The fourth proportional to 2,002.54, 2,998.94 and 1,222.92 is: 1,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.54 : 2,998.94 = 1,222.92 : x
  2. Step 2: Convert to fraction form
    2,002.54/2,998.94 = 1,222.92/x
  3. Step 3: Cross multiply
    2,002.54x = 2,998.94 × 1,222.92
  4. Step 4: Simplify right side
    2,002.54x = 3,667,463.70
  5. Step 5: Solve for x
    x = 3,667,463.70/2,002.54
  6. Step 6: Final answer
    x = 1,831.41

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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.