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Finding the Fourth Proportional to 1,685.97, 2,517.59 and 1,378.44

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Solution

The fourth proportional to 1,685.97, 2,517.59 and 1,378.44 is: 2,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.97 : 2,517.59 = 1,378.44 : x
  2. Step 2: Convert to fraction form
    1,685.97/2,517.59 = 1,378.44/x
  3. Step 3: Cross multiply
    1,685.97x = 2,517.59 × 1,378.44
  4. Step 4: Simplify right side
    1,685.97x = 3,470,339.87
  5. Step 5: Solve for x
    x = 3,470,339.87/1,685.97
  6. Step 6: Final answer
    x = 2,058.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.