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Finding the Fourth Proportional to 2,090.96, 3,135.71 and 609.77

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Solution

The fourth proportional to 2,090.96, 3,135.71 and 609.77 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.96 : 3,135.71 = 609.77 : x
  2. Step 2: Convert to fraction form
    2,090.96/3,135.71 = 609.77/x
  3. Step 3: Cross multiply
    2,090.96x = 3,135.71 × 609.77
  4. Step 4: Simplify right side
    2,090.96x = 1,912,067.82
  5. Step 5: Solve for x
    x = 1,912,067.82/2,090.96
  6. Step 6: Final answer
    x = 914.45

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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.