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Finding the Fourth Proportional to 2,772.98, 3,830.04 and 2,025.74

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Solution

The fourth proportional to 2,772.98, 3,830.04 and 2,025.74 is: 2,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.98 : 3,830.04 = 2,025.74 : x
  2. Step 2: Convert to fraction form
    2,772.98/3,830.04 = 2,025.74/x
  3. Step 3: Cross multiply
    2,772.98x = 3,830.04 × 2,025.74
  4. Step 4: Simplify right side
    2,772.98x = 7,758,665.23
  5. Step 5: Solve for x
    x = 7,758,665.23/2,772.98
  6. Step 6: Final answer
    x = 2,797.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.