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Finding the Fourth Proportional to 2,416.96, 3,336.86 and 1,661.96

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Solution

The fourth proportional to 2,416.96, 3,336.86 and 1,661.96 is: 2,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.96 : 3,336.86 = 1,661.96 : x
  2. Step 2: Convert to fraction form
    2,416.96/3,336.86 = 1,661.96/x
  3. Step 3: Cross multiply
    2,416.96x = 3,336.86 × 1,661.96
  4. Step 4: Simplify right side
    2,416.96x = 5,545,727.85
  5. Step 5: Solve for x
    x = 5,545,727.85/2,416.96
  6. Step 6: Final answer
    x = 2,294.51

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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.