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Finding the Fourth Proportional to 2,110.11, 3,164.63 and 628.94

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Solution

The fourth proportional to 2,110.11, 3,164.63 and 628.94 is: 943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.11 : 3,164.63 = 628.94 : x
  2. Step 2: Convert to fraction form
    2,110.11/3,164.63 = 628.94/x
  3. Step 3: Cross multiply
    2,110.11x = 3,164.63 × 628.94
  4. Step 4: Simplify right side
    2,110.11x = 1,990,343.42
  5. Step 5: Solve for x
    x = 1,990,343.42/2,110.11
  6. Step 6: Final answer
    x = 943.24

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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.