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Finding the Fourth Proportional to 2,090.41, 3,135.16 and 629.22

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Solution

The fourth proportional to 2,090.41, 3,135.16 and 629.22 is: 943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.41 : 3,135.16 = 629.22 : x
  2. Step 2: Convert to fraction form
    2,090.41/3,135.16 = 629.22/x
  3. Step 3: Cross multiply
    2,090.41x = 3,135.16 × 629.22
  4. Step 4: Simplify right side
    2,090.41x = 1,972,696.74
  5. Step 5: Solve for x
    x = 1,972,696.74/2,090.41
  6. Step 6: Final answer
    x = 943.69

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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.