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Finding the Fourth Proportional to 2,443.72, 3,665.98 and 1,211.18

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Solution

The fourth proportional to 2,443.72, 3,665.98 and 1,211.18 is: 1,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.72 : 3,665.98 = 1,211.18 : x
  2. Step 2: Convert to fraction form
    2,443.72/3,665.98 = 1,211.18/x
  3. Step 3: Cross multiply
    2,443.72x = 3,665.98 × 1,211.18
  4. Step 4: Simplify right side
    2,443.72x = 4,440,161.66
  5. Step 5: Solve for x
    x = 4,440,161.66/2,443.72
  6. Step 6: Final answer
    x = 1,816.97

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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.