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Finding the Fourth Proportional to 2,993.06, 4,485.62 and 2,297.07

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Solution

The fourth proportional to 2,993.06, 4,485.62 and 2,297.07 is: 3,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.06 : 4,485.62 = 2,297.07 : x
  2. Step 2: Convert to fraction form
    2,993.06/4,485.62 = 2,297.07/x
  3. Step 3: Cross multiply
    2,993.06x = 4,485.62 × 2,297.07
  4. Step 4: Simplify right side
    2,993.06x = 10,303,771.65
  5. Step 5: Solve for x
    x = 10,303,771.65/2,993.06
  6. Step 6: Final answer
    x = 3,442.56

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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.