Home / 2,409.09-3,614.20-1,022.49

Finding the Fourth Proportional to 2,409.09, 3,614.20 and 1,022.49

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Solution

The fourth proportional to 2,409.09, 3,614.20 and 1,022.49 is: 1,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.09 : 3,614.20 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    2,409.09/3,614.20 = 1,022.49/x
  3. Step 3: Cross multiply
    2,409.09x = 3,614.20 × 1,022.49
  4. Step 4: Simplify right side
    2,409.09x = 3,695,486.55
  5. Step 5: Solve for x
    x = 3,695,486.55/2,409.09
  6. Step 6: Final answer
    x = 1,533.97

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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.