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Finding the Fourth Proportional to 2,983.50, 4,475.24 and 1,684.96

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Solution

The fourth proportional to 2,983.50, 4,475.24 and 1,684.96 is: 2,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.50 : 4,475.24 = 1,684.96 : x
  2. Step 2: Convert to fraction form
    2,983.50/4,475.24 = 1,684.96/x
  3. Step 3: Cross multiply
    2,983.50x = 4,475.24 × 1,684.96
  4. Step 4: Simplify right side
    2,983.50x = 7,540,600.39
  5. Step 5: Solve for x
    x = 7,540,600.39/2,983.50
  6. Step 6: Final answer
    x = 2,527.43

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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.