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Finding the Fourth Proportional to 2,283.62, 3,408.90 and 2,006.83

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Solution

The fourth proportional to 2,283.62, 3,408.90 and 2,006.83 is: 2,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.62 : 3,408.90 = 2,006.83 : x
  2. Step 2: Convert to fraction form
    2,283.62/3,408.90 = 2,006.83/x
  3. Step 3: Cross multiply
    2,283.62x = 3,408.90 × 2,006.83
  4. Step 4: Simplify right side
    2,283.62x = 6,841,074.26
  5. Step 5: Solve for x
    x = 6,841,074.26/2,283.62
  6. Step 6: Final answer
    x = 2,995.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.