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Finding the Fourth Proportional to 2,940.93, 4,411.82 and 993.69

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Solution

The fourth proportional to 2,940.93, 4,411.82 and 993.69 is: 1,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.93 : 4,411.82 = 993.69 : x
  2. Step 2: Convert to fraction form
    2,940.93/4,411.82 = 993.69/x
  3. Step 3: Cross multiply
    2,940.93x = 4,411.82 × 993.69
  4. Step 4: Simplify right side
    2,940.93x = 4,383,983.90
  5. Step 5: Solve for x
    x = 4,383,983.90/2,940.93
  6. Step 6: Final answer
    x = 1,490.68

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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.