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Finding the Fourth Proportional to 2,359.81, 3,540.67 and 1,190.15

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Solution

The fourth proportional to 2,359.81, 3,540.67 and 1,190.15 is: 1,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.81 : 3,540.67 = 1,190.15 : x
  2. Step 2: Convert to fraction form
    2,359.81/3,540.67 = 1,190.15/x
  3. Step 3: Cross multiply
    2,359.81x = 3,540.67 × 1,190.15
  4. Step 4: Simplify right side
    2,359.81x = 4,213,928.40
  5. Step 5: Solve for x
    x = 4,213,928.40/2,359.81
  6. Step 6: Final answer
    x = 1,785.71

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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.