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Finding the Fourth Proportional to 2,738.78, 4,108.23 and 983.90

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Solution

The fourth proportional to 2,738.78, 4,108.23 and 983.90 is: 1,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.78 : 4,108.23 = 983.90 : x
  2. Step 2: Convert to fraction form
    2,738.78/4,108.23 = 983.90/x
  3. Step 3: Cross multiply
    2,738.78x = 4,108.23 × 983.90
  4. Step 4: Simplify right side
    2,738.78x = 4,042,066.96
  5. Step 5: Solve for x
    x = 4,042,066.96/2,738.78
  6. Step 6: Final answer
    x = 1,475.87

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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.