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Finding the Fourth Proportional to 2,191.66, 3,288.09 and 1,218.44

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Solution

The fourth proportional to 2,191.66, 3,288.09 and 1,218.44 is: 1,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.66 : 3,288.09 = 1,218.44 : x
  2. Step 2: Convert to fraction form
    2,191.66/3,288.09 = 1,218.44/x
  3. Step 3: Cross multiply
    2,191.66x = 3,288.09 × 1,218.44
  4. Step 4: Simplify right side
    2,191.66x = 4,006,353.17
  5. Step 5: Solve for x
    x = 4,006,353.17/2,191.66
  6. Step 6: Final answer
    x = 1,828.00

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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.