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Finding the Fourth Proportional to 2,090.93, 3,136.43 and 610.26

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Solution

The fourth proportional to 2,090.93, 3,136.43 and 610.26 is: 915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.93 : 3,136.43 = 610.26 : x
  2. Step 2: Convert to fraction form
    2,090.93/3,136.43 = 610.26/x
  3. Step 3: Cross multiply
    2,090.93x = 3,136.43 × 610.26
  4. Step 4: Simplify right side
    2,090.93x = 1,914,022.09
  5. Step 5: Solve for x
    x = 1,914,022.09/2,090.93
  6. Step 6: Final answer
    x = 915.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.