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Finding the Fourth Proportional to 2,683.17, 3,704.67 and 1,739.43

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Solution

The fourth proportional to 2,683.17, 3,704.67 and 1,739.43 is: 2,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.17 : 3,704.67 = 1,739.43 : x
  2. Step 2: Convert to fraction form
    2,683.17/3,704.67 = 1,739.43/x
  3. Step 3: Cross multiply
    2,683.17x = 3,704.67 × 1,739.43
  4. Step 4: Simplify right side
    2,683.17x = 6,444,014.14
  5. Step 5: Solve for x
    x = 6,444,014.14/2,683.17
  6. Step 6: Final answer
    x = 2,401.64

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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.