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Finding the Fourth Proportional to 2,774.25, 4,163.43 and 1,313.40

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Solution

The fourth proportional to 2,774.25, 4,163.43 and 1,313.40 is: 1,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.25 : 4,163.43 = 1,313.40 : x
  2. Step 2: Convert to fraction form
    2,774.25/4,163.43 = 1,313.40/x
  3. Step 3: Cross multiply
    2,774.25x = 4,163.43 × 1,313.40
  4. Step 4: Simplify right side
    2,774.25x = 5,468,252.56
  5. Step 5: Solve for x
    x = 5,468,252.56/2,774.25
  6. Step 6: Final answer
    x = 1,971.07

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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.