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Finding the Fourth Proportional to 2,650.64, 3,974.63 and 1,090.21

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Solution

The fourth proportional to 2,650.64, 3,974.63 and 1,090.21 is: 1,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.64 : 3,974.63 = 1,090.21 : x
  2. Step 2: Convert to fraction form
    2,650.64/3,974.63 = 1,090.21/x
  3. Step 3: Cross multiply
    2,650.64x = 3,974.63 × 1,090.21
  4. Step 4: Simplify right side
    2,650.64x = 4,333,165.98
  5. Step 5: Solve for x
    x = 4,333,165.98/2,650.64
  6. Step 6: Final answer
    x = 1,634.76

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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.