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Finding the Fourth Proportional to 2,074.44, 3,112.56 and 687.96

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Solution

The fourth proportional to 2,074.44, 3,112.56 and 687.96 is: 1,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.44 : 3,112.56 = 687.96 : x
  2. Step 2: Convert to fraction form
    2,074.44/3,112.56 = 687.96/x
  3. Step 3: Cross multiply
    2,074.44x = 3,112.56 × 687.96
  4. Step 4: Simplify right side
    2,074.44x = 2,141,316.78
  5. Step 5: Solve for x
    x = 2,141,316.78/2,074.44
  6. Step 6: Final answer
    x = 1,032.24

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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.