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Finding the Fourth Proportional to 2,134.73, 3,202.09 and 835.29

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Solution

The fourth proportional to 2,134.73, 3,202.09 and 835.29 is: 1,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.73 : 3,202.09 = 835.29 : x
  2. Step 2: Convert to fraction form
    2,134.73/3,202.09 = 835.29/x
  3. Step 3: Cross multiply
    2,134.73x = 3,202.09 × 835.29
  4. Step 4: Simplify right side
    2,134.73x = 2,674,673.76
  5. Step 5: Solve for x
    x = 2,674,673.76/2,134.73
  6. Step 6: Final answer
    x = 1,252.93

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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.