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Finding the Fourth Proportional to 2,431.18, 3,646.83 and 871.29

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Solution

The fourth proportional to 2,431.18, 3,646.83 and 871.29 is: 1,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.18 : 3,646.83 = 871.29 : x
  2. Step 2: Convert to fraction form
    2,431.18/3,646.83 = 871.29/x
  3. Step 3: Cross multiply
    2,431.18x = 3,646.83 × 871.29
  4. Step 4: Simplify right side
    2,431.18x = 3,177,446.51
  5. Step 5: Solve for x
    x = 3,177,446.51/2,431.18
  6. Step 6: Final answer
    x = 1,306.96

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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.