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Finding the Fourth Proportional to 2,090.93, 3,136.44 and 756.68

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Solution

The fourth proportional to 2,090.93, 3,136.44 and 756.68 is: 1,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.93 : 3,136.44 = 756.68 : x
  2. Step 2: Convert to fraction form
    2,090.93/3,136.44 = 756.68/x
  3. Step 3: Cross multiply
    2,090.93x = 3,136.44 × 756.68
  4. Step 4: Simplify right side
    2,090.93x = 2,373,268.57
  5. Step 5: Solve for x
    x = 2,373,268.57/2,090.93
  6. Step 6: Final answer
    x = 1,135.03

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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.