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Finding the Fourth Proportional to 1,685.14, 2,528.31 and 863.80

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Solution

The fourth proportional to 1,685.14, 2,528.31 and 863.80 is: 1,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.14 : 2,528.31 = 863.80 : x
  2. Step 2: Convert to fraction form
    1,685.14/2,528.31 = 863.80/x
  3. Step 3: Cross multiply
    1,685.14x = 2,528.31 × 863.80
  4. Step 4: Simplify right side
    1,685.14x = 2,183,954.18
  5. Step 5: Solve for x
    x = 2,183,954.18/1,685.14
  6. Step 6: Final answer
    x = 1,296.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.