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Finding the Fourth Proportional to 1,382.50, 1,906.49 and 1,173.25

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Solution

The fourth proportional to 1,382.50, 1,906.49 and 1,173.25 is: 1,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.50 : 1,906.49 = 1,173.25 : x
  2. Step 2: Convert to fraction form
    1,382.50/1,906.49 = 1,173.25/x
  3. Step 3: Cross multiply
    1,382.50x = 1,906.49 × 1,173.25
  4. Step 4: Simplify right side
    1,382.50x = 2,236,773.99
  5. Step 5: Solve for x
    x = 2,236,773.99/1,382.50
  6. Step 6: Final answer
    x = 1,617.93

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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.