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Finding the Fourth Proportional to 2,134.95, 3,203.84 and 836.52

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Solution

The fourth proportional to 2,134.95, 3,203.84 and 836.52 is: 1,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.95 : 3,203.84 = 836.52 : x
  2. Step 2: Convert to fraction form
    2,134.95/3,203.84 = 836.52/x
  3. Step 3: Cross multiply
    2,134.95x = 3,203.84 × 836.52
  4. Step 4: Simplify right side
    2,134.95x = 2,680,076.24
  5. Step 5: Solve for x
    x = 2,680,076.24/2,134.95
  6. Step 6: Final answer
    x = 1,255.33

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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.