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Finding the Fourth Proportional to 2,506.98, 3,760.74 and 1,274.46

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Solution

The fourth proportional to 2,506.98, 3,760.74 and 1,274.46 is: 1,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.98 : 3,760.74 = 1,274.46 : x
  2. Step 2: Convert to fraction form
    2,506.98/3,760.74 = 1,274.46/x
  3. Step 3: Cross multiply
    2,506.98x = 3,760.74 × 1,274.46
  4. Step 4: Simplify right side
    2,506.98x = 4,792,912.70
  5. Step 5: Solve for x
    x = 4,792,912.70/2,506.98
  6. Step 6: Final answer
    x = 1,911.83

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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.