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Finding the Fourth Proportional to 2,406.56, 3,321.92 and 1,522.96

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Solution

The fourth proportional to 2,406.56, 3,321.92 and 1,522.96 is: 2,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.56 : 3,321.92 = 1,522.96 : x
  2. Step 2: Convert to fraction form
    2,406.56/3,321.92 = 1,522.96/x
  3. Step 3: Cross multiply
    2,406.56x = 3,321.92 × 1,522.96
  4. Step 4: Simplify right side
    2,406.56x = 5,059,151.28
  5. Step 5: Solve for x
    x = 5,059,151.28/2,406.56
  6. Step 6: Final answer
    x = 2,102.23

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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.