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Finding the Fourth Proportional to 2,463, 3,398.94 and 1,359

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Solution

The fourth proportional to 2,463, 3,398.94 and 1,359 is: 1,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463 : 3,398.94 = 1,359 : x
  2. Step 2: Convert to fraction form
    2,463/3,398.94 = 1,359/x
  3. Step 3: Cross multiply
    2,463x = 3,398.94 × 1,359
  4. Step 4: Simplify right side
    2,463x = 4,619,159.46
  5. Step 5: Solve for x
    x = 4,619,159.46/2,463
  6. Step 6: Final answer
    x = 1,875.42

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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.