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Finding the Fourth Proportional to 2,463.63, 3,691.32 and 1,731.90

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Solution

The fourth proportional to 2,463.63, 3,691.32 and 1,731.90 is: 2,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.63 : 3,691.32 = 1,731.90 : x
  2. Step 2: Convert to fraction form
    2,463.63/3,691.32 = 1,731.90/x
  3. Step 3: Cross multiply
    2,463.63x = 3,691.32 × 1,731.90
  4. Step 4: Simplify right side
    2,463.63x = 6,392,993.43
  5. Step 5: Solve for x
    x = 6,392,993.43/2,463.63
  6. Step 6: Final answer
    x = 2,594.95

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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.