Home / 2,224.24-3,069.92-1,280.16

Finding the Fourth Proportional to 2,224.24, 3,069.92 and 1,280.16

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Solution

The fourth proportional to 2,224.24, 3,069.92 and 1,280.16 is: 1,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.24 : 3,069.92 = 1,280.16 : x
  2. Step 2: Convert to fraction form
    2,224.24/3,069.92 = 1,280.16/x
  3. Step 3: Cross multiply
    2,224.24x = 3,069.92 × 1,280.16
  4. Step 4: Simplify right side
    2,224.24x = 3,929,988.79
  5. Step 5: Solve for x
    x = 3,929,988.79/2,224.24
  6. Step 6: Final answer
    x = 1,766.89

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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.