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Finding the Fourth Proportional to 1,297.14, 1,942.05 and 1,195.08

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Solution

The fourth proportional to 1,297.14, 1,942.05 and 1,195.08 is: 1,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.14 : 1,942.05 = 1,195.08 : x
  2. Step 2: Convert to fraction form
    1,297.14/1,942.05 = 1,195.08/x
  3. Step 3: Cross multiply
    1,297.14x = 1,942.05 × 1,195.08
  4. Step 4: Simplify right side
    1,297.14x = 2,320,905.11
  5. Step 5: Solve for x
    x = 2,320,905.11/1,297.14
  6. Step 6: Final answer
    x = 1,789.25

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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.