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Finding the Fourth Proportional to 2,794.45, 4,185.60 and 1,696.90

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Solution

The fourth proportional to 2,794.45, 4,185.60 and 1,696.90 is: 2,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.45 : 4,185.60 = 1,696.90 : x
  2. Step 2: Convert to fraction form
    2,794.45/4,185.60 = 1,696.90/x
  3. Step 3: Cross multiply
    2,794.45x = 4,185.60 × 1,696.90
  4. Step 4: Simplify right side
    2,794.45x = 7,102,544.64
  5. Step 5: Solve for x
    x = 7,102,544.64/2,794.45
  6. Step 6: Final answer
    x = 2,541.66

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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.