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Finding the Fourth Proportional to 3,043.62, 4,200.19 and 1,646.37

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Solution

The fourth proportional to 3,043.62, 4,200.19 and 1,646.37 is: 2,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.62 : 4,200.19 = 1,646.37 : x
  2. Step 2: Convert to fraction form
    3,043.62/4,200.19 = 1,646.37/x
  3. Step 3: Cross multiply
    3,043.62x = 4,200.19 × 1,646.37
  4. Step 4: Simplify right side
    3,043.62x = 6,915,062.69
  5. Step 5: Solve for x
    x = 6,915,062.69/3,043.62
  6. Step 6: Final answer
    x = 2,271.99

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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.