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Finding the Fourth Proportional to 2,683.58, 3,704.67 and 1,800.27

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Solution

The fourth proportional to 2,683.58, 3,704.67 and 1,800.27 is: 2,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.58 : 3,704.67 = 1,800.27 : x
  2. Step 2: Convert to fraction form
    2,683.58/3,704.67 = 1,800.27/x
  3. Step 3: Cross multiply
    2,683.58x = 3,704.67 × 1,800.27
  4. Step 4: Simplify right side
    2,683.58x = 6,669,406.26
  5. Step 5: Solve for x
    x = 6,669,406.26/2,683.58
  6. Step 6: Final answer
    x = 2,485.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.