Home / 1,402.20-2,102.91-415.23

Finding the Fourth Proportional to 1,402.20, 2,102.91 and 415.23

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Solution

The fourth proportional to 1,402.20, 2,102.91 and 415.23 is: 622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.20 : 2,102.91 = 415.23 : x
  2. Step 2: Convert to fraction form
    1,402.20/2,102.91 = 415.23/x
  3. Step 3: Cross multiply
    1,402.20x = 2,102.91 × 415.23
  4. Step 4: Simplify right side
    1,402.20x = 873,191.32
  5. Step 5: Solve for x
    x = 873,191.32/1,402.20
  6. Step 6: Final answer
    x = 622.73

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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.