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Finding the Fourth Proportional to 1,823.96, 2,736.18 and 836.54

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Solution

The fourth proportional to 1,823.96, 2,736.18 and 836.54 is: 1,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.96 : 2,736.18 = 836.54 : x
  2. Step 2: Convert to fraction form
    1,823.96/2,736.18 = 836.54/x
  3. Step 3: Cross multiply
    1,823.96x = 2,736.18 × 836.54
  4. Step 4: Simplify right side
    1,823.96x = 2,288,906.15
  5. Step 5: Solve for x
    x = 2,288,906.15/1,823.96
  6. Step 6: Final answer
    x = 1,254.91

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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.