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Finding the Fourth Proportional to 2,090.42, 3,135.16 and 629.68

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Solution

The fourth proportional to 2,090.42, 3,135.16 and 629.68 is: 944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.42 : 3,135.16 = 629.68 : x
  2. Step 2: Convert to fraction form
    2,090.42/3,135.16 = 629.68/x
  3. Step 3: Cross multiply
    2,090.42x = 3,135.16 × 629.68
  4. Step 4: Simplify right side
    2,090.42x = 1,974,147.55
  5. Step 5: Solve for x
    x = 1,974,147.55/2,090.42
  6. Step 6: Final answer
    x = 944.38

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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.