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Finding the Fourth Proportional to 1,645.47, 2,463.39 and 863.61

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Solution

The fourth proportional to 1,645.47, 2,463.39 and 863.61 is: 1,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.47 : 2,463.39 = 863.61 : x
  2. Step 2: Convert to fraction form
    1,645.47/2,463.39 = 863.61/x
  3. Step 3: Cross multiply
    1,645.47x = 2,463.39 × 863.61
  4. Step 4: Simplify right side
    1,645.47x = 2,127,408.24
  5. Step 5: Solve for x
    x = 2,127,408.24/1,645.47
  6. Step 6: Final answer
    x = 1,292.89

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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.