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Finding the Fourth Proportional to 3,043.49, 4,200.02 and 1,646.24

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Solution

The fourth proportional to 3,043.49, 4,200.02 and 1,646.24 is: 2,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.49 : 4,200.02 = 1,646.24 : x
  2. Step 2: Convert to fraction form
    3,043.49/4,200.02 = 1,646.24/x
  3. Step 3: Cross multiply
    3,043.49x = 4,200.02 × 1,646.24
  4. Step 4: Simplify right side
    3,043.49x = 6,914,211.69
  5. Step 5: Solve for x
    x = 6,914,211.69/3,043.49
  6. Step 6: Final answer
    x = 2,271.81

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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.