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Finding the Fourth Proportional to 3,043.73, 4,200.36 and 1,646.48

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Solution

The fourth proportional to 3,043.73, 4,200.36 and 1,646.48 is: 2,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.73 : 4,200.36 = 1,646.48 : x
  2. Step 2: Convert to fraction form
    3,043.73/4,200.36 = 1,646.48/x
  3. Step 3: Cross multiply
    3,043.73x = 4,200.36 × 1,646.48
  4. Step 4: Simplify right side
    3,043.73x = 6,915,819.23
  5. Step 5: Solve for x
    x = 6,915,819.23/3,043.73
  6. Step 6: Final answer
    x = 2,272.15

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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.