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Finding the Fourth Proportional to 2,409.56, 3,593.98 and 2,336.64

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Solution

The fourth proportional to 2,409.56, 3,593.98 and 2,336.64 is: 3,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.56 : 3,593.98 = 2,336.64 : x
  2. Step 2: Convert to fraction form
    2,409.56/3,593.98 = 2,336.64/x
  3. Step 3: Cross multiply
    2,409.56x = 3,593.98 × 2,336.64
  4. Step 4: Simplify right side
    2,409.56x = 8,397,837.43
  5. Step 5: Solve for x
    x = 8,397,837.43/2,409.56
  6. Step 6: Final answer
    x = 3,485.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.