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Finding the Fourth Proportional to 2,817.67, 4,228.26 and 1,356.97

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Solution

The fourth proportional to 2,817.67, 4,228.26 and 1,356.97 is: 2,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.67 : 4,228.26 = 1,356.97 : x
  2. Step 2: Convert to fraction form
    2,817.67/4,228.26 = 1,356.97/x
  3. Step 3: Cross multiply
    2,817.67x = 4,228.26 × 1,356.97
  4. Step 4: Simplify right side
    2,817.67x = 5,737,621.97
  5. Step 5: Solve for x
    x = 5,737,621.97/2,817.67
  6. Step 6: Final answer
    x = 2,036.30

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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.