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Finding the Fourth Proportional to 3,271.97, 4,906.40 and 1,190.50

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Solution

The fourth proportional to 3,271.97, 4,906.40 and 1,190.50 is: 1,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.97 : 4,906.40 = 1,190.50 : x
  2. Step 2: Convert to fraction form
    3,271.97/4,906.40 = 1,190.50/x
  3. Step 3: Cross multiply
    3,271.97x = 4,906.40 × 1,190.50
  4. Step 4: Simplify right side
    3,271.97x = 5,841,050.98
  5. Step 5: Solve for x
    x = 5,841,050.98/3,271.97
  6. Step 6: Final answer
    x = 1,785.18

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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.