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Finding the Fourth Proportional to 2,737.56, 4,107.08 and 982.74

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Solution

The fourth proportional to 2,737.56, 4,107.08 and 982.74 is: 1,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.56 : 4,107.08 = 982.74 : x
  2. Step 2: Convert to fraction form
    2,737.56/4,107.08 = 982.74/x
  3. Step 3: Cross multiply
    2,737.56x = 4,107.08 × 982.74
  4. Step 4: Simplify right side
    2,737.56x = 4,036,186.89
  5. Step 5: Solve for x
    x = 4,036,186.89/2,737.56
  6. Step 6: Final answer
    x = 1,474.37

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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.