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Finding the Fourth Proportional to 1,601.64, 2,401.92 and 447.12

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Solution

The fourth proportional to 1,601.64, 2,401.92 and 447.12 is: 670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.64 : 2,401.92 = 447.12 : x
  2. Step 2: Convert to fraction form
    1,601.64/2,401.92 = 447.12/x
  3. Step 3: Cross multiply
    1,601.64x = 2,401.92 × 447.12
  4. Step 4: Simplify right side
    1,601.64x = 1,073,946.47
  5. Step 5: Solve for x
    x = 1,073,946.47/1,601.64
  6. Step 6: Final answer
    x = 670.53

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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.