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Finding the Fourth Proportional to 2,737.82, 4,107.18 and 982.64

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Solution

The fourth proportional to 2,737.82, 4,107.18 and 982.64 is: 1,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.82 : 4,107.18 = 982.64 : x
  2. Step 2: Convert to fraction form
    2,737.82/4,107.18 = 982.64/x
  3. Step 3: Cross multiply
    2,737.82x = 4,107.18 × 982.64
  4. Step 4: Simplify right side
    2,737.82x = 4,035,879.36
  5. Step 5: Solve for x
    x = 4,035,879.36/2,737.82
  6. Step 6: Final answer
    x = 1,474.12

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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.