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Finding the Fourth Proportional to 2,508.45, 3,761.07 and 1,274.16

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Solution

The fourth proportional to 2,508.45, 3,761.07 and 1,274.16 is: 1,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.45 : 3,761.07 = 1,274.16 : x
  2. Step 2: Convert to fraction form
    2,508.45/3,761.07 = 1,274.16/x
  3. Step 3: Cross multiply
    2,508.45x = 3,761.07 × 1,274.16
  4. Step 4: Simplify right side
    2,508.45x = 4,792,204.95
  5. Step 5: Solve for x
    x = 4,792,204.95/2,508.45
  6. Step 6: Final answer
    x = 1,910.42

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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.