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Finding the Fourth Proportional to 3,121.83, 4,683.42 and 1,660.77

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Solution

The fourth proportional to 3,121.83, 4,683.42 and 1,660.77 is: 2,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.83 : 4,683.42 = 1,660.77 : x
  2. Step 2: Convert to fraction form
    3,121.83/4,683.42 = 1,660.77/x
  3. Step 3: Cross multiply
    3,121.83x = 4,683.42 × 1,660.77
  4. Step 4: Simplify right side
    3,121.83x = 7,778,083.43
  5. Step 5: Solve for x
    x = 7,778,083.43/3,121.83
  6. Step 6: Final answer
    x = 2,491.51

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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.