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Finding the Fourth Proportional to 2,158.29, 3,233.17 and 2,006.41

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Solution

The fourth proportional to 2,158.29, 3,233.17 and 2,006.41 is: 3,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.29 : 3,233.17 = 2,006.41 : x
  2. Step 2: Convert to fraction form
    2,158.29/3,233.17 = 2,006.41/x
  3. Step 3: Cross multiply
    2,158.29x = 3,233.17 × 2,006.41
  4. Step 4: Simplify right side
    2,158.29x = 6,487,064.62
  5. Step 5: Solve for x
    x = 6,487,064.62/2,158.29
  6. Step 6: Final answer
    x = 3,005.65

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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.