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Finding the Fourth Proportional to 3,023.32, 4,534.92 and 1,722

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Solution

The fourth proportional to 3,023.32, 4,534.92 and 1,722 is: 2,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.32 : 4,534.92 = 1,722 : x
  2. Step 2: Convert to fraction form
    3,023.32/4,534.92 = 1,722/x
  3. Step 3: Cross multiply
    3,023.32x = 4,534.92 × 1,722
  4. Step 4: Simplify right side
    3,023.32x = 7,809,132.24
  5. Step 5: Solve for x
    x = 7,809,132.24/3,023.32
  6. Step 6: Final answer
    x = 2,582.97

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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.