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Finding the Fourth Proportional to 2,209.41, 3,316.09 and 1,659.93

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Solution

The fourth proportional to 2,209.41, 3,316.09 and 1,659.93 is: 2,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.41 : 3,316.09 = 1,659.93 : x
  2. Step 2: Convert to fraction form
    2,209.41/3,316.09 = 1,659.93/x
  3. Step 3: Cross multiply
    2,209.41x = 3,316.09 × 1,659.93
  4. Step 4: Simplify right side
    2,209.41x = 5,504,477.27
  5. Step 5: Solve for x
    x = 5,504,477.27/2,209.41
  6. Step 6: Final answer
    x = 2,491.38

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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.