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Finding the Fourth Proportional to 2,090.26, 3,135.46 and 629.52

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Solution

The fourth proportional to 2,090.26, 3,135.46 and 629.52 is: 944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.26 : 3,135.46 = 629.52 : x
  2. Step 2: Convert to fraction form
    2,090.26/3,135.46 = 629.52/x
  3. Step 3: Cross multiply
    2,090.26x = 3,135.46 × 629.52
  4. Step 4: Simplify right side
    2,090.26x = 1,973,834.78
  5. Step 5: Solve for x
    x = 1,973,834.78/2,090.26
  6. Step 6: Final answer
    x = 944.30

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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.