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Finding the Fourth Proportional to 3,114.17, 4,296.17 and 2,050.56

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Solution

The fourth proportional to 3,114.17, 4,296.17 and 2,050.56 is: 2,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.17 : 4,296.17 = 2,050.56 : x
  2. Step 2: Convert to fraction form
    3,114.17/4,296.17 = 2,050.56/x
  3. Step 3: Cross multiply
    3,114.17x = 4,296.17 × 2,050.56
  4. Step 4: Simplify right side
    3,114.17x = 8,809,544.10
  5. Step 5: Solve for x
    x = 8,809,544.10/3,114.17
  6. Step 6: Final answer
    x = 2,828.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.