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Finding the Fourth Proportional to 2,774.83, 4,162.31 and 1,314.13

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Solution

The fourth proportional to 2,774.83, 4,162.31 and 1,314.13 is: 1,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.83 : 4,162.31 = 1,314.13 : x
  2. Step 2: Convert to fraction form
    2,774.83/4,162.31 = 1,314.13/x
  3. Step 3: Cross multiply
    2,774.83x = 4,162.31 × 1,314.13
  4. Step 4: Simplify right side
    2,774.83x = 5,469,804.39
  5. Step 5: Solve for x
    x = 5,469,804.39/2,774.83
  6. Step 6: Final answer
    x = 1,971.22

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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.