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Finding the Fourth Proportional to 3,271.68, 4,902.74 and 2,035.34

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Solution

The fourth proportional to 3,271.68, 4,902.74 and 2,035.34 is: 3,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.68 : 4,902.74 = 2,035.34 : x
  2. Step 2: Convert to fraction form
    3,271.68/4,902.74 = 2,035.34/x
  3. Step 3: Cross multiply
    3,271.68x = 4,902.74 × 2,035.34
  4. Step 4: Simplify right side
    3,271.68x = 9,978,708.14
  5. Step 5: Solve for x
    x = 9,978,708.14/3,271.68
  6. Step 6: Final answer
    x = 3,050.03

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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.