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Finding the Fourth Proportional to 1,684.70, 2,528.57 and 863.54

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Solution

The fourth proportional to 1,684.70, 2,528.57 and 863.54 is: 1,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.70 : 2,528.57 = 863.54 : x
  2. Step 2: Convert to fraction form
    1,684.70/2,528.57 = 863.54/x
  3. Step 3: Cross multiply
    1,684.70x = 2,528.57 × 863.54
  4. Step 4: Simplify right side
    1,684.70x = 2,183,504.38
  5. Step 5: Solve for x
    x = 2,183,504.38/1,684.70
  6. Step 6: Final answer
    x = 1,296.08

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Why These Related Problems?

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