Home / 1,611.24-2,416.71-441.20

Finding the Fourth Proportional to 1,611.24, 2,416.71 and 441.20

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Solution

The fourth proportional to 1,611.24, 2,416.71 and 441.20 is: 661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.24 : 2,416.71 = 441.20 : x
  2. Step 2: Convert to fraction form
    1,611.24/2,416.71 = 441.20/x
  3. Step 3: Cross multiply
    1,611.24x = 2,416.71 × 441.20
  4. Step 4: Simplify right side
    1,611.24x = 1,066,245.31
  5. Step 5: Solve for x
    x = 1,066,245.31/1,611.24
  6. Step 6: Final answer
    x = 661.75

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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.