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Finding the Fourth Proportional to 2,089.11, 3,133.63 and 628.20

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Solution

The fourth proportional to 2,089.11, 3,133.63 and 628.20 is: 942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.11 : 3,133.63 = 628.20 : x
  2. Step 2: Convert to fraction form
    2,089.11/3,133.63 = 628.20/x
  3. Step 3: Cross multiply
    2,089.11x = 3,133.63 × 628.20
  4. Step 4: Simplify right side
    2,089.11x = 1,968,546.37
  5. Step 5: Solve for x
    x = 1,968,546.37/2,089.11
  6. Step 6: Final answer
    x = 942.29

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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.