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Finding the Fourth Proportional to 3,023.92, 4,173.20 and 1,697.71

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Solution

The fourth proportional to 3,023.92, 4,173.20 and 1,697.71 is: 2,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.92 : 4,173.20 = 1,697.71 : x
  2. Step 2: Convert to fraction form
    3,023.92/4,173.20 = 1,697.71/x
  3. Step 3: Cross multiply
    3,023.92x = 4,173.20 × 1,697.71
  4. Step 4: Simplify right side
    3,023.92x = 7,084,883.37
  5. Step 5: Solve for x
    x = 7,084,883.37/3,023.92
  6. Step 6: Final answer
    x = 2,342.95

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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.