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Finding the Fourth Proportional to 2,529.17, 3,794.05 and 863.57

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Solution

The fourth proportional to 2,529.17, 3,794.05 and 863.57 is: 1,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.17 : 3,794.05 = 863.57 : x
  2. Step 2: Convert to fraction form
    2,529.17/3,794.05 = 863.57/x
  3. Step 3: Cross multiply
    2,529.17x = 3,794.05 × 863.57
  4. Step 4: Simplify right side
    2,529.17x = 3,276,424.10
  5. Step 5: Solve for x
    x = 3,276,424.10/2,529.17
  6. Step 6: Final answer
    x = 1,295.46

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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.