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Finding the Fourth Proportional to 2,133.73, 3,201.05 and 835.30

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Solution

The fourth proportional to 2,133.73, 3,201.05 and 835.30 is: 1,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.73 : 3,201.05 = 835.30 : x
  2. Step 2: Convert to fraction form
    2,133.73/3,201.05 = 835.30/x
  3. Step 3: Cross multiply
    2,133.73x = 3,201.05 × 835.30
  4. Step 4: Simplify right side
    2,133.73x = 2,673,837.07
  5. Step 5: Solve for x
    x = 2,673,837.07/2,133.73
  6. Step 6: Final answer
    x = 1,253.13

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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.