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Finding the Fourth Proportional to 2,133.48, 3,201.09 and 835.86

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Solution

The fourth proportional to 2,133.48, 3,201.09 and 835.86 is: 1,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.48 : 3,201.09 = 835.86 : x
  2. Step 2: Convert to fraction form
    2,133.48/3,201.09 = 835.86/x
  3. Step 3: Cross multiply
    2,133.48x = 3,201.09 × 835.86
  4. Step 4: Simplify right side
    2,133.48x = 2,675,663.09
  5. Step 5: Solve for x
    x = 2,675,663.09/2,133.48
  6. Step 6: Final answer
    x = 1,254.13

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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.