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Finding the Fourth Proportional to 2,077.99, 3,114.92 and 1,153.96

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Solution

The fourth proportional to 2,077.99, 3,114.92 and 1,153.96 is: 1,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.99 : 3,114.92 = 1,153.96 : x
  2. Step 2: Convert to fraction form
    2,077.99/3,114.92 = 1,153.96/x
  3. Step 3: Cross multiply
    2,077.99x = 3,114.92 × 1,153.96
  4. Step 4: Simplify right side
    2,077.99x = 3,594,487.31
  5. Step 5: Solve for x
    x = 3,594,487.31/2,077.99
  6. Step 6: Final answer
    x = 1,729.79

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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.