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Finding the Fourth Proportional to 1,684.26, 2,528.64 and 863.10

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Solution

The fourth proportional to 1,684.26, 2,528.64 and 863.10 is: 1,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.26 : 2,528.64 = 863.10 : x
  2. Step 2: Convert to fraction form
    1,684.26/2,528.64 = 863.10/x
  3. Step 3: Cross multiply
    1,684.26x = 2,528.64 × 863.10
  4. Step 4: Simplify right side
    1,684.26x = 2,182,469.18
  5. Step 5: Solve for x
    x = 2,182,469.18/1,684.26
  6. Step 6: Final answer
    x = 1,295.80

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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.