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Finding the Fourth Proportional to 2,090.34, 3,135.42 and 551.34

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Solution

The fourth proportional to 2,090.34, 3,135.42 and 551.34 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.34 : 3,135.42 = 551.34 : x
  2. Step 2: Convert to fraction form
    2,090.34/3,135.42 = 551.34/x
  3. Step 3: Cross multiply
    2,090.34x = 3,135.42 × 551.34
  4. Step 4: Simplify right side
    2,090.34x = 1,728,682.46
  5. Step 5: Solve for x
    x = 1,728,682.46/2,090.34
  6. Step 6: Final answer
    x = 826.99

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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.