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Finding the Fourth Proportional to 2,134.36, 2,945.36 and 1,238.20

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Solution

The fourth proportional to 2,134.36, 2,945.36 and 1,238.20 is: 1,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.36 : 2,945.36 = 1,238.20 : x
  2. Step 2: Convert to fraction form
    2,134.36/2,945.36 = 1,238.20/x
  3. Step 3: Cross multiply
    2,134.36x = 2,945.36 × 1,238.20
  4. Step 4: Simplify right side
    2,134.36x = 3,646,944.75
  5. Step 5: Solve for x
    x = 3,646,944.75/2,134.36
  6. Step 6: Final answer
    x = 1,708.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.