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Finding the Fourth Proportional to 3,271.34, 4,900.22 and 1,600.43

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Solution

The fourth proportional to 3,271.34, 4,900.22 and 1,600.43 is: 2,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.34 : 4,900.22 = 1,600.43 : x
  2. Step 2: Convert to fraction form
    3,271.34/4,900.22 = 1,600.43/x
  3. Step 3: Cross multiply
    3,271.34x = 4,900.22 × 1,600.43
  4. Step 4: Simplify right side
    3,271.34x = 7,842,478.44
  5. Step 5: Solve for x
    x = 7,842,478.44/3,271.34
  6. Step 6: Final answer
    x = 2,397.33

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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.