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Finding the Fourth Proportional to 1,892.83, 2,836.85 and 851.72

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Solution

The fourth proportional to 1,892.83, 2,836.85 and 851.72 is: 1,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.83 : 2,836.85 = 851.72 : x
  2. Step 2: Convert to fraction form
    1,892.83/2,836.85 = 851.72/x
  3. Step 3: Cross multiply
    1,892.83x = 2,836.85 × 851.72
  4. Step 4: Simplify right side
    1,892.83x = 2,416,201.88
  5. Step 5: Solve for x
    x = 2,416,201.88/1,892.83
  6. Step 6: Final answer
    x = 1,276.50

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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.