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Finding the Fourth Proportional to 1,935.96, 2,671.81 and 1,190.41

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Solution

The fourth proportional to 1,935.96, 2,671.81 and 1,190.41 is: 1,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.96 : 2,671.81 = 1,190.41 : x
  2. Step 2: Convert to fraction form
    1,935.96/2,671.81 = 1,190.41/x
  3. Step 3: Cross multiply
    1,935.96x = 2,671.81 × 1,190.41
  4. Step 4: Simplify right side
    1,935.96x = 3,180,539.69
  5. Step 5: Solve for x
    x = 3,180,539.69/1,935.96
  6. Step 6: Final answer
    x = 1,642.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.