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Finding the Fourth Proportional to 2,157.22, 3,235.44 and 986.94

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Solution

The fourth proportional to 2,157.22, 3,235.44 and 986.94 is: 1,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.22 : 3,235.44 = 986.94 : x
  2. Step 2: Convert to fraction form
    2,157.22/3,235.44 = 986.94/x
  3. Step 3: Cross multiply
    2,157.22x = 3,235.44 × 986.94
  4. Step 4: Simplify right side
    2,157.22x = 3,193,185.15
  5. Step 5: Solve for x
    x = 3,193,185.15/2,157.22
  6. Step 6: Final answer
    x = 1,480.23

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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.