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Finding the Fourth Proportional to 2,090.18, 3,134.52 and 628.88

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Solution

The fourth proportional to 2,090.18, 3,134.52 and 628.88 is: 943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.18 : 3,134.52 = 628.88 : x
  2. Step 2: Convert to fraction form
    2,090.18/3,134.52 = 628.88/x
  3. Step 3: Cross multiply
    2,090.18x = 3,134.52 × 628.88
  4. Step 4: Simplify right side
    2,090.18x = 1,971,236.94
  5. Step 5: Solve for x
    x = 1,971,236.94/2,090.18
  6. Step 6: Final answer
    x = 943.09

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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.