Home / 1,512.28-2,268.50-416.62

Finding the Fourth Proportional to 1,512.28, 2,268.50 and 416.62

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Solution

The fourth proportional to 1,512.28, 2,268.50 and 416.62 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.28 : 2,268.50 = 416.62 : x
  2. Step 2: Convert to fraction form
    1,512.28/2,268.50 = 416.62/x
  3. Step 3: Cross multiply
    1,512.28x = 2,268.50 × 416.62
  4. Step 4: Simplify right side
    1,512.28x = 945,101.43
  5. Step 5: Solve for x
    x = 945,101.43/1,512.28
  6. Step 6: Final answer
    x = 624.95

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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.