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Finding the Fourth Proportional to 2,993.56, 4,486.37 and 2,297.57

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Solution

The fourth proportional to 2,993.56, 4,486.37 and 2,297.57 is: 3,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.56 : 4,486.37 = 2,297.57 : x
  2. Step 2: Convert to fraction form
    2,993.56/4,486.37 = 2,297.57/x
  3. Step 3: Cross multiply
    2,993.56x = 4,486.37 × 2,297.57
  4. Step 4: Simplify right side
    2,993.56x = 10,307,726.69
  5. Step 5: Solve for x
    x = 10,307,726.69/2,993.56
  6. Step 6: Final answer
    x = 3,443.31

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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.