Home / 1,403.44-2,105.10-416.21

Finding the Fourth Proportional to 1,403.44, 2,105.10 and 416.21

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Solution

The fourth proportional to 1,403.44, 2,105.10 and 416.21 is: 624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.44 : 2,105.10 = 416.21 : x
  2. Step 2: Convert to fraction form
    1,403.44/2,105.10 = 416.21/x
  3. Step 3: Cross multiply
    1,403.44x = 2,105.10 × 416.21
  4. Step 4: Simplify right side
    1,403.44x = 876,168.93
  5. Step 5: Solve for x
    x = 876,168.93/1,403.44
  6. Step 6: Final answer
    x = 624.30

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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.