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Finding the Fourth Proportional to 3,073.28, 4,610.05 and 882.23

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Solution

The fourth proportional to 3,073.28, 4,610.05 and 882.23 is: 1,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.28 : 4,610.05 = 882.23 : x
  2. Step 2: Convert to fraction form
    3,073.28/4,610.05 = 882.23/x
  3. Step 3: Cross multiply
    3,073.28x = 4,610.05 × 882.23
  4. Step 4: Simplify right side
    3,073.28x = 4,067,099.16
  5. Step 5: Solve for x
    x = 4,067,099.16/3,073.28
  6. Step 6: Final answer
    x = 1,323.38

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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.