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Finding the Fourth Proportional to 3,005.66, 4,508.21 and 2,131.92

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Solution

The fourth proportional to 3,005.66, 4,508.21 and 2,131.92 is: 3,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.66 : 4,508.21 = 2,131.92 : x
  2. Step 2: Convert to fraction form
    3,005.66/4,508.21 = 2,131.92/x
  3. Step 3: Cross multiply
    3,005.66x = 4,508.21 × 2,131.92
  4. Step 4: Simplify right side
    3,005.66x = 9,611,148.39
  5. Step 5: Solve for x
    x = 9,611,148.39/3,005.66
  6. Step 6: Final answer
    x = 3,197.68

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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.