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Finding the Fourth Proportional to 1,923, 2,871.08 and 1,903.14

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Solution

The fourth proportional to 1,923, 2,871.08 and 1,903.14 is: 2,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923 : 2,871.08 = 1,903.14 : x
  2. Step 2: Convert to fraction form
    1,923/2,871.08 = 1,903.14/x
  3. Step 3: Cross multiply
    1,923x = 2,871.08 × 1,903.14
  4. Step 4: Simplify right side
    1,923x = 5,464,067.19
  5. Step 5: Solve for x
    x = 5,464,067.19/1,923
  6. Step 6: Final answer
    x = 2,841.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.