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Finding the Fourth Proportional to 3,043.56, 4,200.12 and 1,646.31

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Solution

The fourth proportional to 3,043.56, 4,200.12 and 1,646.31 is: 2,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.56 : 4,200.12 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    3,043.56/4,200.12 = 1,646.31/x
  3. Step 3: Cross multiply
    3,043.56x = 4,200.12 × 1,646.31
  4. Step 4: Simplify right side
    3,043.56x = 6,914,699.56
  5. Step 5: Solve for x
    x = 6,914,699.56/3,043.56
  6. Step 6: Final answer
    x = 2,271.91

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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.