Home / 2,824.42-4,231.50-1,782.22

Finding the Fourth Proportional to 2,824.42, 4,231.50 and 1,782.22

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Solution

The fourth proportional to 2,824.42, 4,231.50 and 1,782.22 is: 2,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.42 : 4,231.50 = 1,782.22 : x
  2. Step 2: Convert to fraction form
    2,824.42/4,231.50 = 1,782.22/x
  3. Step 3: Cross multiply
    2,824.42x = 4,231.50 × 1,782.22
  4. Step 4: Simplify right side
    2,824.42x = 7,541,463.93
  5. Step 5: Solve for x
    x = 7,541,463.93/2,824.42
  6. Step 6: Final answer
    x = 2,670.09

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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.