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Finding the Fourth Proportional to 2,463.59, 3,694.03 and 1,684.47

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Solution

The fourth proportional to 2,463.59, 3,694.03 and 1,684.47 is: 2,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.59 : 3,694.03 = 1,684.47 : x
  2. Step 2: Convert to fraction form
    2,463.59/3,694.03 = 1,684.47/x
  3. Step 3: Cross multiply
    2,463.59x = 3,694.03 × 1,684.47
  4. Step 4: Simplify right side
    2,463.59x = 6,222,478.50
  5. Step 5: Solve for x
    x = 6,222,478.50/2,463.59
  6. Step 6: Final answer
    x = 2,525.78

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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.