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Finding the Fourth Proportional to 2,090.74, 3,135.27 and 858.10

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Solution

The fourth proportional to 2,090.74, 3,135.27 and 858.10 is: 1,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.74 : 3,135.27 = 858.10 : x
  2. Step 2: Convert to fraction form
    2,090.74/3,135.27 = 858.10/x
  3. Step 3: Cross multiply
    2,090.74x = 3,135.27 × 858.10
  4. Step 4: Simplify right side
    2,090.74x = 2,690,375.19
  5. Step 5: Solve for x
    x = 2,690,375.19/2,090.74
  6. Step 6: Final answer
    x = 1,286.81

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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.