Home / 1,601.13-2,401.67-415.17

Finding the Fourth Proportional to 1,601.13, 2,401.67 and 415.17

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Solution

The fourth proportional to 1,601.13, 2,401.67 and 415.17 is: 622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.13 : 2,401.67 = 415.17 : x
  2. Step 2: Convert to fraction form
    1,601.13/2,401.67 = 415.17/x
  3. Step 3: Cross multiply
    1,601.13x = 2,401.67 × 415.17
  4. Step 4: Simplify right side
    1,601.13x = 997,102.37
  5. Step 5: Solve for x
    x = 997,102.37/1,601.13
  6. Step 6: Final answer
    x = 622.75

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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.