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Finding the Fourth Proportional to 1,935.44, 2,671.06 and 1,189.22

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Solution

The fourth proportional to 1,935.44, 2,671.06 and 1,189.22 is: 1,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.44 : 2,671.06 = 1,189.22 : x
  2. Step 2: Convert to fraction form
    1,935.44/2,671.06 = 1,189.22/x
  3. Step 3: Cross multiply
    1,935.44x = 2,671.06 × 1,189.22
  4. Step 4: Simplify right side
    1,935.44x = 3,176,477.97
  5. Step 5: Solve for x
    x = 3,176,477.97/1,935.44
  6. Step 6: Final answer
    x = 1,641.22

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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.