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Finding the Fourth Proportional to 3,274.20, 4,903.20 and 2,102.40

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Solution

The fourth proportional to 3,274.20, 4,903.20 and 2,102.40 is: 3,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.20 : 4,903.20 = 2,102.40 : x
  2. Step 2: Convert to fraction form
    3,274.20/4,903.20 = 2,102.40/x
  3. Step 3: Cross multiply
    3,274.20x = 4,903.20 × 2,102.40
  4. Step 4: Simplify right side
    3,274.20x = 10,308,487.68
  5. Step 5: Solve for x
    x = 10,308,487.68/3,274.20
  6. Step 6: Final answer
    x = 3,148.40

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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.