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Finding the Fourth Proportional to 2,276.15, 3,414.09 and 795.27

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Solution

The fourth proportional to 2,276.15, 3,414.09 and 795.27 is: 1,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.15 : 3,414.09 = 795.27 : x
  2. Step 2: Convert to fraction form
    2,276.15/3,414.09 = 795.27/x
  3. Step 3: Cross multiply
    2,276.15x = 3,414.09 × 795.27
  4. Step 4: Simplify right side
    2,276.15x = 2,715,123.35
  5. Step 5: Solve for x
    x = 2,715,123.35/2,276.15
  6. Step 6: Final answer
    x = 1,192.86

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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.