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Finding the Fourth Proportional to 2,394.82, 3,304.82 and 1,463.32

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Solution

The fourth proportional to 2,394.82, 3,304.82 and 1,463.32 is: 2,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.82 : 3,304.82 = 1,463.32 : x
  2. Step 2: Convert to fraction form
    2,394.82/3,304.82 = 1,463.32/x
  3. Step 3: Cross multiply
    2,394.82x = 3,304.82 × 1,463.32
  4. Step 4: Simplify right side
    2,394.82x = 4,836,009.20
  5. Step 5: Solve for x
    x = 4,836,009.20/2,394.82
  6. Step 6: Final answer
    x = 2,019.36

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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.