Home / 1,512.46-2,268.74-416.83

Finding the Fourth Proportional to 1,512.46, 2,268.74 and 416.83

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Solution

The fourth proportional to 1,512.46, 2,268.74 and 416.83 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.46 : 2,268.74 = 416.83 : x
  2. Step 2: Convert to fraction form
    1,512.46/2,268.74 = 416.83/x
  3. Step 3: Cross multiply
    1,512.46x = 2,268.74 × 416.83
  4. Step 4: Simplify right side
    1,512.46x = 945,671.14
  5. Step 5: Solve for x
    x = 945,671.14/1,512.46
  6. Step 6: Final answer
    x = 625.25

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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.