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Finding the Fourth Proportional to 3,138.81, 4,708.44 and 1,191

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Solution

The fourth proportional to 3,138.81, 4,708.44 and 1,191 is: 1,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.81 : 4,708.44 = 1,191 : x
  2. Step 2: Convert to fraction form
    3,138.81/4,708.44 = 1,191/x
  3. Step 3: Cross multiply
    3,138.81x = 4,708.44 × 1,191
  4. Step 4: Simplify right side
    3,138.81x = 5,607,752.04
  5. Step 5: Solve for x
    x = 5,607,752.04/3,138.81
  6. Step 6: Final answer
    x = 1,786.59

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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.