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Finding the Fourth Proportional to 2,090.68, 3,135.27 and 629.38

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Solution

The fourth proportional to 2,090.68, 3,135.27 and 629.38 is: 943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.68 : 3,135.27 = 629.38 : x
  2. Step 2: Convert to fraction form
    2,090.68/3,135.27 = 629.38/x
  3. Step 3: Cross multiply
    2,090.68x = 3,135.27 × 629.38
  4. Step 4: Simplify right side
    2,090.68x = 1,973,276.23
  5. Step 5: Solve for x
    x = 1,973,276.23/2,090.68
  6. Step 6: Final answer
    x = 943.84

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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.