Home / 2,824.42-4,231.62-2,409.35

Finding the Fourth Proportional to 2,824.42, 4,231.62 and 2,409.35

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Solution

The fourth proportional to 2,824.42, 4,231.62 and 2,409.35 is: 3,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.42 : 4,231.62 = 2,409.35 : x
  2. Step 2: Convert to fraction form
    2,824.42/4,231.62 = 2,409.35/x
  3. Step 3: Cross multiply
    2,824.42x = 4,231.62 × 2,409.35
  4. Step 4: Simplify right side
    2,824.42x = 10,195,425.71
  5. Step 5: Solve for x
    x = 10,195,425.71/2,824.42
  6. Step 6: Final answer
    x = 3,609.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.