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Finding the Fourth Proportional to 2,134.36, 2,945.10 and 1,202.68

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Solution

The fourth proportional to 2,134.36, 2,945.10 and 1,202.68 is: 1,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.36 : 2,945.10 = 1,202.68 : x
  2. Step 2: Convert to fraction form
    2,134.36/2,945.10 = 1,202.68/x
  3. Step 3: Cross multiply
    2,134.36x = 2,945.10 × 1,202.68
  4. Step 4: Simplify right side
    2,134.36x = 3,542,012.87
  5. Step 5: Solve for x
    x = 3,542,012.87/2,134.36
  6. Step 6: Final answer
    x = 1,659.52

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