Home / 1,782.27-2,457.24-1,221.78

Finding the Fourth Proportional to 1,782.27, 2,457.24 and 1,221.78

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Solution

The fourth proportional to 1,782.27, 2,457.24 and 1,221.78 is: 1,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.27 : 2,457.24 = 1,221.78 : x
  2. Step 2: Convert to fraction form
    1,782.27/2,457.24 = 1,221.78/x
  3. Step 3: Cross multiply
    1,782.27x = 2,457.24 × 1,221.78
  4. Step 4: Simplify right side
    1,782.27x = 3,002,206.69
  5. Step 5: Solve for x
    x = 3,002,206.69/1,782.27
  6. Step 6: Final answer
    x = 1,684.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.