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Finding the Fourth Proportional to 2,905.66, 3,999.94 and 2,157.22

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Solution

The fourth proportional to 2,905.66, 3,999.94 and 2,157.22 is: 2,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.66 : 3,999.94 = 2,157.22 : x
  2. Step 2: Convert to fraction form
    2,905.66/3,999.94 = 2,157.22/x
  3. Step 3: Cross multiply
    2,905.66x = 3,999.94 × 2,157.22
  4. Step 4: Simplify right side
    2,905.66x = 8,628,750.57
  5. Step 5: Solve for x
    x = 8,628,750.57/2,905.66
  6. Step 6: Final answer
    x = 2,969.64

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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.