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Finding the Fourth Proportional to 2,917.78, 4,375.35 and 837.31

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Solution

The fourth proportional to 2,917.78, 4,375.35 and 837.31 is: 1,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.78 : 4,375.35 = 837.31 : x
  2. Step 2: Convert to fraction form
    2,917.78/4,375.35 = 837.31/x
  3. Step 3: Cross multiply
    2,917.78x = 4,375.35 × 837.31
  4. Step 4: Simplify right side
    2,917.78x = 3,663,502.43
  5. Step 5: Solve for x
    x = 3,663,502.43/2,917.78
  6. Step 6: Final answer
    x = 1,255.58

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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.