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Finding the Fourth Proportional to 2,507.17, 3,759.98 and 863.35

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Solution

The fourth proportional to 2,507.17, 3,759.98 and 863.35 is: 1,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.17 : 3,759.98 = 863.35 : x
  2. Step 2: Convert to fraction form
    2,507.17/3,759.98 = 863.35/x
  3. Step 3: Cross multiply
    2,507.17x = 3,759.98 × 863.35
  4. Step 4: Simplify right side
    2,507.17x = 3,246,178.73
  5. Step 5: Solve for x
    x = 3,246,178.73/2,507.17
  6. Step 6: Final answer
    x = 1,294.76

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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.