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Finding the Fourth Proportional to 2,431.77, 3,648.41 and 871.73

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Solution

The fourth proportional to 2,431.77, 3,648.41 and 871.73 is: 1,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.77 : 3,648.41 = 871.73 : x
  2. Step 2: Convert to fraction form
    2,431.77/3,648.41 = 871.73/x
  3. Step 3: Cross multiply
    2,431.77x = 3,648.41 × 871.73
  4. Step 4: Simplify right side
    2,431.77x = 3,180,428.45
  5. Step 5: Solve for x
    x = 3,180,428.45/2,431.77
  6. Step 6: Final answer
    x = 1,307.87

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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.