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Finding the Fourth Proportional to 3,162.81, 4,743.09 and 1,188.03

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Solution

The fourth proportional to 3,162.81, 4,743.09 and 1,188.03 is: 1,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.81 : 4,743.09 = 1,188.03 : x
  2. Step 2: Convert to fraction form
    3,162.81/4,743.09 = 1,188.03/x
  3. Step 3: Cross multiply
    3,162.81x = 4,743.09 × 1,188.03
  4. Step 4: Simplify right side
    3,162.81x = 5,634,933.21
  5. Step 5: Solve for x
    x = 5,634,933.21/3,162.81
  6. Step 6: Final answer
    x = 1,781.62

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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.