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Finding the Fourth Proportional to 3,201.65, 4,804.63 and 1,121.66

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Solution

The fourth proportional to 3,201.65, 4,804.63 and 1,121.66 is: 1,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.65 : 4,804.63 = 1,121.66 : x
  2. Step 2: Convert to fraction form
    3,201.65/4,804.63 = 1,121.66/x
  3. Step 3: Cross multiply
    3,201.65x = 4,804.63 × 1,121.66
  4. Step 4: Simplify right side
    3,201.65x = 5,389,170.49
  5. Step 5: Solve for x
    x = 5,389,170.49/3,201.65
  6. Step 6: Final answer
    x = 1,683.25

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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.