Home / 1,601.20-2,401.88-446.96

Finding the Fourth Proportional to 1,601.20, 2,401.88 and 446.96

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Solution

The fourth proportional to 1,601.20, 2,401.88 and 446.96 is: 670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.20 : 2,401.88 = 446.96 : x
  2. Step 2: Convert to fraction form
    1,601.20/2,401.88 = 446.96/x
  3. Step 3: Cross multiply
    1,601.20x = 2,401.88 × 446.96
  4. Step 4: Simplify right side
    1,601.20x = 1,073,544.28
  5. Step 5: Solve for x
    x = 1,073,544.28/1,601.20
  6. Step 6: Final answer
    x = 670.46

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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.