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Finding the Fourth Proportional to 1,911.38, 2,866.73 and 871.14

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Solution

The fourth proportional to 1,911.38, 2,866.73 and 871.14 is: 1,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.38 : 2,866.73 = 871.14 : x
  2. Step 2: Convert to fraction form
    1,911.38/2,866.73 = 871.14/x
  3. Step 3: Cross multiply
    1,911.38x = 2,866.73 × 871.14
  4. Step 4: Simplify right side
    1,911.38x = 2,497,323.17
  5. Step 5: Solve for x
    x = 2,497,323.17/1,911.38
  6. Step 6: Final answer
    x = 1,306.56

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Why These Related Problems?

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