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Finding the Fourth Proportional to 2,327.69, 3,491.66 and 940.82

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Solution

The fourth proportional to 2,327.69, 3,491.66 and 940.82 is: 1,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.69 : 3,491.66 = 940.82 : x
  2. Step 2: Convert to fraction form
    2,327.69/3,491.66 = 940.82/x
  3. Step 3: Cross multiply
    2,327.69x = 3,491.66 × 940.82
  4. Step 4: Simplify right side
    2,327.69x = 3,285,003.16
  5. Step 5: Solve for x
    x = 3,285,003.16/2,327.69
  6. Step 6: Final answer
    x = 1,411.27

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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.