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Finding the Fourth Proportional to 2,304.44, 3,456.78 and 765.56

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Solution

The fourth proportional to 2,304.44, 3,456.78 and 765.56 is: 1,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.44 : 3,456.78 = 765.56 : x
  2. Step 2: Convert to fraction form
    2,304.44/3,456.78 = 765.56/x
  3. Step 3: Cross multiply
    2,304.44x = 3,456.78 × 765.56
  4. Step 4: Simplify right side
    2,304.44x = 2,646,372.50
  5. Step 5: Solve for x
    x = 2,646,372.50/2,304.44
  6. Step 6: Final answer
    x = 1,148.38

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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.