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Finding the Fourth Proportional to 3,120.69, 4,683.87 and 1,661.07

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Solution

The fourth proportional to 3,120.69, 4,683.87 and 1,661.07 is: 2,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.69 : 4,683.87 = 1,661.07 : x
  2. Step 2: Convert to fraction form
    3,120.69/4,683.87 = 1,661.07/x
  3. Step 3: Cross multiply
    3,120.69x = 4,683.87 × 1,661.07
  4. Step 4: Simplify right side
    3,120.69x = 7,780,235.94
  5. Step 5: Solve for x
    x = 7,780,235.94/3,120.69
  6. Step 6: Final answer
    x = 2,493.11

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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.