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Finding the Fourth Proportional to 2,683.82, 4,023.90 and 1,697.24

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Solution

The fourth proportional to 2,683.82, 4,023.90 and 1,697.24 is: 2,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.82 : 4,023.90 = 1,697.24 : x
  2. Step 2: Convert to fraction form
    2,683.82/4,023.90 = 1,697.24/x
  3. Step 3: Cross multiply
    2,683.82x = 4,023.90 × 1,697.24
  4. Step 4: Simplify right side
    2,683.82x = 6,829,524.04
  5. Step 5: Solve for x
    x = 6,829,524.04/2,683.82
  6. Step 6: Final answer
    x = 2,544.70

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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.