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Finding the Fourth Proportional to 2,191.86, 3,287.75 and 631.80

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Solution

The fourth proportional to 2,191.86, 3,287.75 and 631.80 is: 947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.86 : 3,287.75 = 631.80 : x
  2. Step 2: Convert to fraction form
    2,191.86/3,287.75 = 631.80/x
  3. Step 3: Cross multiply
    2,191.86x = 3,287.75 × 631.80
  4. Step 4: Simplify right side
    2,191.86x = 2,077,201.73
  5. Step 5: Solve for x
    x = 2,077,201.73/2,191.86
  6. Step 6: Final answer
    x = 947.69

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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.