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Finding the Fourth Proportional to 1,436.93, 1,984.13 and 1,171.41

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Solution

The fourth proportional to 1,436.93, 1,984.13 and 1,171.41 is: 1,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.93 : 1,984.13 = 1,171.41 : x
  2. Step 2: Convert to fraction form
    1,436.93/1,984.13 = 1,171.41/x
  3. Step 3: Cross multiply
    1,436.93x = 1,984.13 × 1,171.41
  4. Step 4: Simplify right side
    1,436.93x = 2,324,229.72
  5. Step 5: Solve for x
    x = 2,324,229.72/1,436.93
  6. Step 6: Final answer
    x = 1,617.50

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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.