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Finding the Fourth Proportional to 4,522.35, 6,784.20 and 1,600.41

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Solution

The fourth proportional to 4,522.35, 6,784.20 and 1,600.41 is: 2,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.35 : 6,784.20 = 1,600.41 : x
  2. Step 2: Convert to fraction form
    4,522.35/6,784.20 = 1,600.41/x
  3. Step 3: Cross multiply
    4,522.35x = 6,784.20 × 1,600.41
  4. Step 4: Simplify right side
    4,522.35x = 10,857,501.52
  5. Step 5: Solve for x
    x = 10,857,501.52/4,522.35
  6. Step 6: Final answer
    x = 2,400.85

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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.