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Finding the Fourth Proportional to 4,443.66, 6,664.73 and 1,631.93

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Solution

The fourth proportional to 4,443.66, 6,664.73 and 1,631.93 is: 2,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443.66 : 6,664.73 = 1,631.93 : x
  2. Step 2: Convert to fraction form
    4,443.66/6,664.73 = 1,631.93/x
  3. Step 3: Cross multiply
    4,443.66x = 6,664.73 × 1,631.93
  4. Step 4: Simplify right side
    4,443.66x = 10,876,331.35
  5. Step 5: Solve for x
    x = 10,876,331.35/4,443.66
  6. Step 6: Final answer
    x = 2,447.61

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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.