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Finding the Fourth Proportional to 3,043.50, 4,200.06 and 1,646.28

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Solution

The fourth proportional to 3,043.50, 4,200.06 and 1,646.28 is: 2,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.50 : 4,200.06 = 1,646.28 : x
  2. Step 2: Convert to fraction form
    3,043.50/4,200.06 = 1,646.28/x
  3. Step 3: Cross multiply
    3,043.50x = 4,200.06 × 1,646.28
  4. Step 4: Simplify right side
    3,043.50x = 6,914,474.78
  5. Step 5: Solve for x
    x = 6,914,474.78/3,043.50
  6. Step 6: Final answer
    x = 2,271.88

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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.