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Finding the Fourth Proportional to 3,271.64, 4,906.98 and 1,080.39

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Solution

The fourth proportional to 3,271.64, 4,906.98 and 1,080.39 is: 1,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.64 : 4,906.98 = 1,080.39 : x
  2. Step 2: Convert to fraction form
    3,271.64/4,906.98 = 1,080.39/x
  3. Step 3: Cross multiply
    3,271.64x = 4,906.98 × 1,080.39
  4. Step 4: Simplify right side
    3,271.64x = 5,301,434.45
  5. Step 5: Solve for x
    x = 5,301,434.45/3,271.64
  6. Step 6: Final answer
    x = 1,620.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.