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Finding the Fourth Proportional to 2,443.68, 3,662 and 1,211.94

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Solution

The fourth proportional to 2,443.68, 3,662 and 1,211.94 is: 1,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.68 : 3,662 = 1,211.94 : x
  2. Step 2: Convert to fraction form
    2,443.68/3,662 = 1,211.94/x
  3. Step 3: Cross multiply
    2,443.68x = 3,662 × 1,211.94
  4. Step 4: Simplify right side
    2,443.68x = 4,438,124.28
  5. Step 5: Solve for x
    x = 4,438,124.28/2,443.68
  6. Step 6: Final answer
    x = 1,816.16

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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.