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Finding the Fourth Proportional to 1,910.96, 2,864.62 and 871.64

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Solution

The fourth proportional to 1,910.96, 2,864.62 and 871.64 is: 1,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.96 : 2,864.62 = 871.64 : x
  2. Step 2: Convert to fraction form
    1,910.96/2,864.62 = 871.64/x
  3. Step 3: Cross multiply
    1,910.96x = 2,864.62 × 871.64
  4. Step 4: Simplify right side
    1,910.96x = 2,496,917.38
  5. Step 5: Solve for x
    x = 2,496,917.38/1,910.96
  6. Step 6: Final answer
    x = 1,306.63

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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.