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Finding the Fourth Proportional to 2,669.09, 4,002.11 and 1,206.83

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Solution

The fourth proportional to 2,669.09, 4,002.11 and 1,206.83 is: 1,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.09 : 4,002.11 = 1,206.83 : x
  2. Step 2: Convert to fraction form
    2,669.09/4,002.11 = 1,206.83/x
  3. Step 3: Cross multiply
    2,669.09x = 4,002.11 × 1,206.83
  4. Step 4: Simplify right side
    2,669.09x = 4,829,874.91
  5. Step 5: Solve for x
    x = 4,829,874.91/2,669.09
  6. Step 6: Final answer
    x = 1,809.56

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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.