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Finding the Fourth Proportional to 2,006.41, 3,005.03 and 967.17

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Solution

The fourth proportional to 2,006.41, 3,005.03 and 967.17 is: 1,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.41 : 3,005.03 = 967.17 : x
  2. Step 2: Convert to fraction form
    2,006.41/3,005.03 = 967.17/x
  3. Step 3: Cross multiply
    2,006.41x = 3,005.03 × 967.17
  4. Step 4: Simplify right side
    2,006.41x = 2,906,374.87
  5. Step 5: Solve for x
    x = 2,906,374.87/2,006.41
  6. Step 6: Final answer
    x = 1,448.54

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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.