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Finding the Fourth Proportional to 2,443.61, 3,664.64 and 883.41

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Solution

The fourth proportional to 2,443.61, 3,664.64 and 883.41 is: 1,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.61 : 3,664.64 = 883.41 : x
  2. Step 2: Convert to fraction form
    2,443.61/3,664.64 = 883.41/x
  3. Step 3: Cross multiply
    2,443.61x = 3,664.64 × 883.41
  4. Step 4: Simplify right side
    2,443.61x = 3,237,379.62
  5. Step 5: Solve for x
    x = 3,237,379.62/2,443.61
  6. Step 6: Final answer
    x = 1,324.83

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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.