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Finding the Fourth Proportional to 3,162.09, 4,733.40 and 1,866.09

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Solution

The fourth proportional to 3,162.09, 4,733.40 and 1,866.09 is: 2,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.09 : 4,733.40 = 1,866.09 : x
  2. Step 2: Convert to fraction form
    3,162.09/4,733.40 = 1,866.09/x
  3. Step 3: Cross multiply
    3,162.09x = 4,733.40 × 1,866.09
  4. Step 4: Simplify right side
    3,162.09x = 8,832,950.41
  5. Step 5: Solve for x
    x = 8,832,950.41/3,162.09
  6. Step 6: Final answer
    x = 2,793.39

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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.