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Finding the Fourth Proportional to 2,090.24, 3,135.26 and 857.34

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Solution

The fourth proportional to 2,090.24, 3,135.26 and 857.34 is: 1,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.24 : 3,135.26 = 857.34 : x
  2. Step 2: Convert to fraction form
    2,090.24/3,135.26 = 857.34/x
  3. Step 3: Cross multiply
    2,090.24x = 3,135.26 × 857.34
  4. Step 4: Simplify right side
    2,090.24x = 2,687,979.52
  5. Step 5: Solve for x
    x = 2,687,979.52/2,090.24
  6. Step 6: Final answer
    x = 1,285.97

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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.