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Finding the Fourth Proportional to 2,738.48, 4,108.05 and 983.21

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Solution

The fourth proportional to 2,738.48, 4,108.05 and 983.21 is: 1,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.48 : 4,108.05 = 983.21 : x
  2. Step 2: Convert to fraction form
    2,738.48/4,108.05 = 983.21/x
  3. Step 3: Cross multiply
    2,738.48x = 4,108.05 × 983.21
  4. Step 4: Simplify right side
    2,738.48x = 4,039,055.30
  5. Step 5: Solve for x
    x = 4,039,055.30/2,738.48
  6. Step 6: Final answer
    x = 1,474.93

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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.