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Finding the Fourth Proportional to 4,523.44, 6,785.10 and 1,601.32

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Solution

The fourth proportional to 4,523.44, 6,785.10 and 1,601.32 is: 2,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.44 : 6,785.10 = 1,601.32 : x
  2. Step 2: Convert to fraction form
    4,523.44/6,785.10 = 1,601.32/x
  3. Step 3: Cross multiply
    4,523.44x = 6,785.10 × 1,601.32
  4. Step 4: Simplify right side
    4,523.44x = 10,865,116.33
  5. Step 5: Solve for x
    x = 10,865,116.33/4,523.44
  6. Step 6: Final answer
    x = 2,401.96

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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.