Home / 2,114.25-3,171.32-943.95

Finding the Fourth Proportional to 2,114.25, 3,171.32 and 943.95

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Solution

The fourth proportional to 2,114.25, 3,171.32 and 943.95 is: 1,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.25 : 3,171.32 = 943.95 : x
  2. Step 2: Convert to fraction form
    2,114.25/3,171.32 = 943.95/x
  3. Step 3: Cross multiply
    2,114.25x = 3,171.32 × 943.95
  4. Step 4: Simplify right side
    2,114.25x = 2,993,562.79
  5. Step 5: Solve for x
    x = 2,993,562.79/2,114.25
  6. Step 6: Final answer
    x = 1,415.90

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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.