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Finding the Fourth Proportional to 2,463.59, 3,398.43 and 1,519.59

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Solution

The fourth proportional to 2,463.59, 3,398.43 and 1,519.59 is: 2,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.59 : 3,398.43 = 1,519.59 : x
  2. Step 2: Convert to fraction form
    2,463.59/3,398.43 = 1,519.59/x
  3. Step 3: Cross multiply
    2,463.59x = 3,398.43 × 1,519.59
  4. Step 4: Simplify right side
    2,463.59x = 5,164,220.24
  5. Step 5: Solve for x
    x = 5,164,220.24/2,463.59
  6. Step 6: Final answer
    x = 2,096.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.