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Finding the Fourth Proportional to 3,272.60, 4,516.16 and 1,946.33

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Solution

The fourth proportional to 3,272.60, 4,516.16 and 1,946.33 is: 2,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.60 : 4,516.16 = 1,946.33 : x
  2. Step 2: Convert to fraction form
    3,272.60/4,516.16 = 1,946.33/x
  3. Step 3: Cross multiply
    3,272.60x = 4,516.16 × 1,946.33
  4. Step 4: Simplify right side
    3,272.60x = 8,789,922.32
  5. Step 5: Solve for x
    x = 8,789,922.32/3,272.60
  6. Step 6: Final answer
    x = 2,685.91

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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.