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Finding the Fourth Proportional to 2,122.39, 3,183.62 and 735.77

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Solution

The fourth proportional to 2,122.39, 3,183.62 and 735.77 is: 1,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.39 : 3,183.62 = 735.77 : x
  2. Step 2: Convert to fraction form
    2,122.39/3,183.62 = 735.77/x
  3. Step 3: Cross multiply
    2,122.39x = 3,183.62 × 735.77
  4. Step 4: Simplify right side
    2,122.39x = 2,342,392.49
  5. Step 5: Solve for x
    x = 2,342,392.49/2,122.39
  6. Step 6: Final answer
    x = 1,103.66

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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.