Home / 2,114.20-3,172.29-944.08

Finding the Fourth Proportional to 2,114.20, 3,172.29 and 944.08

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Solution

The fourth proportional to 2,114.20, 3,172.29 and 944.08 is: 1,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.20 : 3,172.29 = 944.08 : x
  2. Step 2: Convert to fraction form
    2,114.20/3,172.29 = 944.08/x
  3. Step 3: Cross multiply
    2,114.20x = 3,172.29 × 944.08
  4. Step 4: Simplify right side
    2,114.20x = 2,994,890.82
  5. Step 5: Solve for x
    x = 2,994,890.82/2,114.20
  6. Step 6: Final answer
    x = 1,416.56

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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.