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Finding the Fourth Proportional to 2,917.43, 4,374.82 and 836.96

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Solution

The fourth proportional to 2,917.43, 4,374.82 and 836.96 is: 1,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.43 : 4,374.82 = 836.96 : x
  2. Step 2: Convert to fraction form
    2,917.43/4,374.82 = 836.96/x
  3. Step 3: Cross multiply
    2,917.43x = 4,374.82 × 836.96
  4. Step 4: Simplify right side
    2,917.43x = 3,661,536.72
  5. Step 5: Solve for x
    x = 3,661,536.72/2,917.43
  6. Step 6: Final answer
    x = 1,255.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.