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Finding the Fourth Proportional to 1,382.90, 1,908.23 and 1,173.92

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Solution

The fourth proportional to 1,382.90, 1,908.23 and 1,173.92 is: 1,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.90 : 1,908.23 = 1,173.92 : x
  2. Step 2: Convert to fraction form
    1,382.90/1,908.23 = 1,173.92/x
  3. Step 3: Cross multiply
    1,382.90x = 1,908.23 × 1,173.92
  4. Step 4: Simplify right side
    1,382.90x = 2,240,093.95
  5. Step 5: Solve for x
    x = 2,240,093.95/1,382.90
  6. Step 6: Final answer
    x = 1,619.86

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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.