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Finding the Fourth Proportional to 4,522.30, 6,782.43 and 1,600.61

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Solution

The fourth proportional to 4,522.30, 6,782.43 and 1,600.61 is: 2,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.30 : 6,782.43 = 1,600.61 : x
  2. Step 2: Convert to fraction form
    4,522.30/6,782.43 = 1,600.61/x
  3. Step 3: Cross multiply
    4,522.30x = 6,782.43 × 1,600.61
  4. Step 4: Simplify right side
    4,522.30x = 10,855,983.37
  5. Step 5: Solve for x
    x = 10,855,983.37/4,522.30
  6. Step 6: Final answer
    x = 2,400.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.