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Finding the Fourth Proportional to 2,090.16, 3,136.38 and 857.28

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Solution

The fourth proportional to 2,090.16, 3,136.38 and 857.28 is: 1,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.16 : 3,136.38 = 857.28 : x
  2. Step 2: Convert to fraction form
    2,090.16/3,136.38 = 857.28/x
  3. Step 3: Cross multiply
    2,090.16x = 3,136.38 × 857.28
  4. Step 4: Simplify right side
    2,090.16x = 2,688,755.85
  5. Step 5: Solve for x
    x = 2,688,755.85/2,090.16
  6. Step 6: Final answer
    x = 1,286.39

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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.