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Finding the Fourth Proportional to 2,191.75, 3,287.82 and 631.75

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Solution

The fourth proportional to 2,191.75, 3,287.82 and 631.75 is: 947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.75 : 3,287.82 = 631.75 : x
  2. Step 2: Convert to fraction form
    2,191.75/3,287.82 = 631.75/x
  3. Step 3: Cross multiply
    2,191.75x = 3,287.82 × 631.75
  4. Step 4: Simplify right side
    2,191.75x = 2,077,080.29
  5. Step 5: Solve for x
    x = 2,077,080.29/2,191.75
  6. Step 6: Final answer
    x = 947.68

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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.