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Finding the Fourth Proportional to 2,661.98, 4,005.63 and 2,196.83

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Solution

The fourth proportional to 2,661.98, 4,005.63 and 2,196.83 is: 3,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.98 : 4,005.63 = 2,196.83 : x
  2. Step 2: Convert to fraction form
    2,661.98/4,005.63 = 2,196.83/x
  3. Step 3: Cross multiply
    2,661.98x = 4,005.63 × 2,196.83
  4. Step 4: Simplify right side
    2,661.98x = 8,799,668.12
  5. Step 5: Solve for x
    x = 8,799,668.12/2,661.98
  6. Step 6: Final answer
    x = 3,305.69

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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.