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Finding the Fourth Proportional to 3,103.41, 4,654.56 and 882.39

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Solution

The fourth proportional to 3,103.41, 4,654.56 and 882.39 is: 1,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.41 : 4,654.56 = 882.39 : x
  2. Step 2: Convert to fraction form
    3,103.41/4,654.56 = 882.39/x
  3. Step 3: Cross multiply
    3,103.41x = 4,654.56 × 882.39
  4. Step 4: Simplify right side
    3,103.41x = 4,107,137.20
  5. Step 5: Solve for x
    x = 4,107,137.20/3,103.41
  6. Step 6: Final answer
    x = 1,323.43

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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.