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Finding the Fourth Proportional to 3,122.37, 4,683.56 and 1,737.27

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Solution

The fourth proportional to 3,122.37, 4,683.56 and 1,737.27 is: 2,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.37 : 4,683.56 = 1,737.27 : x
  2. Step 2: Convert to fraction form
    3,122.37/4,683.56 = 1,737.27/x
  3. Step 3: Cross multiply
    3,122.37x = 4,683.56 × 1,737.27
  4. Step 4: Simplify right side
    3,122.37x = 8,136,599.59
  5. Step 5: Solve for x
    x = 8,136,599.59/3,122.37
  6. Step 6: Final answer
    x = 2,605.91

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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.