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Finding the Fourth Proportional to 3,138.31, 4,708.61 and 1,190.50

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Solution

The fourth proportional to 3,138.31, 4,708.61 and 1,190.50 is: 1,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.31 : 4,708.61 = 1,190.50 : x
  2. Step 2: Convert to fraction form
    3,138.31/4,708.61 = 1,190.50/x
  3. Step 3: Cross multiply
    3,138.31x = 4,708.61 × 1,190.50
  4. Step 4: Simplify right side
    3,138.31x = 5,605,600.21
  5. Step 5: Solve for x
    x = 5,605,600.21/3,138.31
  6. Step 6: Final answer
    x = 1,786.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.