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Finding the Fourth Proportional to 2,431.69, 3,648.17 and 872.03

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Solution

The fourth proportional to 2,431.69, 3,648.17 and 872.03 is: 1,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.69 : 3,648.17 = 872.03 : x
  2. Step 2: Convert to fraction form
    2,431.69/3,648.17 = 872.03/x
  3. Step 3: Cross multiply
    2,431.69x = 3,648.17 × 872.03
  4. Step 4: Simplify right side
    2,431.69x = 3,181,324.99
  5. Step 5: Solve for x
    x = 3,181,324.99/2,431.69
  6. Step 6: Final answer
    x = 1,308.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.