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Finding the Fourth Proportional to 3,043.71, 4,200.27 and 1,646.46

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Solution

The fourth proportional to 3,043.71, 4,200.27 and 1,646.46 is: 2,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.71 : 4,200.27 = 1,646.46 : x
  2. Step 2: Convert to fraction form
    3,043.71/4,200.27 = 1,646.46/x
  3. Step 3: Cross multiply
    3,043.71x = 4,200.27 × 1,646.46
  4. Step 4: Simplify right side
    3,043.71x = 6,915,576.54
  5. Step 5: Solve for x
    x = 6,915,576.54/3,043.71
  6. Step 6: Final answer
    x = 2,272.09

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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.