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Finding the Fourth Proportional to 1,431.23, 1,974.78 and 871.61

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Solution

The fourth proportional to 1,431.23, 1,974.78 and 871.61 is: 1,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.23 : 1,974.78 = 871.61 : x
  2. Step 2: Convert to fraction form
    1,431.23/1,974.78 = 871.61/x
  3. Step 3: Cross multiply
    1,431.23x = 1,974.78 × 871.61
  4. Step 4: Simplify right side
    1,431.23x = 1,721,228.12
  5. Step 5: Solve for x
    x = 1,721,228.12/1,431.23
  6. Step 6: Final answer
    x = 1,202.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.