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Finding the Fourth Proportional to 3,137.77, 4,704.63 and 1,821.79

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Solution

The fourth proportional to 3,137.77, 4,704.63 and 1,821.79 is: 2,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.77 : 4,704.63 = 1,821.79 : x
  2. Step 2: Convert to fraction form
    3,137.77/4,704.63 = 1,821.79/x
  3. Step 3: Cross multiply
    3,137.77x = 4,704.63 × 1,821.79
  4. Step 4: Simplify right side
    3,137.77x = 8,570,847.89
  5. Step 5: Solve for x
    x = 8,570,847.89/3,137.77
  6. Step 6: Final answer
    x = 2,731.51

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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.