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Finding the Fourth Proportional to 2,191.05, 3,285.90 and 631.19

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Solution

The fourth proportional to 2,191.05, 3,285.90 and 631.19 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.05 : 3,285.90 = 631.19 : x
  2. Step 2: Convert to fraction form
    2,191.05/3,285.90 = 631.19/x
  3. Step 3: Cross multiply
    2,191.05x = 3,285.90 × 631.19
  4. Step 4: Simplify right side
    2,191.05x = 2,074,035.44
  5. Step 5: Solve for x
    x = 2,074,035.44/2,191.05
  6. Step 6: Final answer
    x = 946.59

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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.