Home / 2,114.12-3,163.26-2,003

Finding the Fourth Proportional to 2,114.12, 3,163.26 and 2,003

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Solution

The fourth proportional to 2,114.12, 3,163.26 and 2,003 is: 2,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.12 : 3,163.26 = 2,003 : x
  2. Step 2: Convert to fraction form
    2,114.12/3,163.26 = 2,003/x
  3. Step 3: Cross multiply
    2,114.12x = 3,163.26 × 2,003
  4. Step 4: Simplify right side
    2,114.12x = 6,336,009.78
  5. Step 5: Solve for x
    x = 6,336,009.78/2,114.12
  6. Step 6: Final answer
    x = 2,997.00

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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.