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Finding the Fourth Proportional to 2,453.82, 3,661.77 and 2,191.00

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Solution

The fourth proportional to 2,453.82, 3,661.77 and 2,191.00 is: 3,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.82 : 3,661.77 = 2,191.00 : x
  2. Step 2: Convert to fraction form
    2,453.82/3,661.77 = 2,191.00/x
  3. Step 3: Cross multiply
    2,453.82x = 3,661.77 × 2,191.00
  4. Step 4: Simplify right side
    2,453.82x = 8,022,934.75
  5. Step 5: Solve for x
    x = 8,022,934.75/2,453.82
  6. Step 6: Final answer
    x = 3,269.57

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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.