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Finding the Fourth Proportional to 2,090.41, 3,135.98 and 629.44

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Solution

The fourth proportional to 2,090.41, 3,135.98 and 629.44 is: 944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.41 : 3,135.98 = 629.44 : x
  2. Step 2: Convert to fraction form
    2,090.41/3,135.98 = 629.44/x
  3. Step 3: Cross multiply
    2,090.41x = 3,135.98 × 629.44
  4. Step 4: Simplify right side
    2,090.41x = 1,973,908.10
  5. Step 5: Solve for x
    x = 1,973,908.10/2,090.41
  6. Step 6: Final answer
    x = 944.27

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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.