Home / 1,928.49-2,892.24-541.95

Finding the Fourth Proportional to 1,928.49, 2,892.24 and 541.95

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Solution

The fourth proportional to 1,928.49, 2,892.24 and 541.95 is: 812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.49 : 2,892.24 = 541.95 : x
  2. Step 2: Convert to fraction form
    1,928.49/2,892.24 = 541.95/x
  3. Step 3: Cross multiply
    1,928.49x = 2,892.24 × 541.95
  4. Step 4: Simplify right side
    1,928.49x = 1,567,449.47
  5. Step 5: Solve for x
    x = 1,567,449.47/1,928.49
  6. Step 6: Final answer
    x = 812.79

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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.