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Finding the Fourth Proportional to 2,678.14, 4,010.22 and 2,155.28

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Solution

The fourth proportional to 2,678.14, 4,010.22 and 2,155.28 is: 3,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.14 : 4,010.22 = 2,155.28 : x
  2. Step 2: Convert to fraction form
    2,678.14/4,010.22 = 2,155.28/x
  3. Step 3: Cross multiply
    2,678.14x = 4,010.22 × 2,155.28
  4. Step 4: Simplify right side
    2,678.14x = 8,643,136.19
  5. Step 5: Solve for x
    x = 8,643,136.19/2,678.14
  6. Step 6: Final answer
    x = 3,227.30

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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.