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Finding the Fourth Proportional to 2,135.88, 3,203.82 and 836.64

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Solution

The fourth proportional to 2,135.88, 3,203.82 and 836.64 is: 1,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.88 : 3,203.82 = 836.64 : x
  2. Step 2: Convert to fraction form
    2,135.88/3,203.82 = 836.64/x
  3. Step 3: Cross multiply
    2,135.88x = 3,203.82 × 836.64
  4. Step 4: Simplify right side
    2,135.88x = 2,680,443.96
  5. Step 5: Solve for x
    x = 2,680,443.96/2,135.88
  6. Step 6: Final answer
    x = 1,254.96

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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.