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Finding the Fourth Proportional to 2,964.77, 4,091.31 and 1,638.44

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Solution

The fourth proportional to 2,964.77, 4,091.31 and 1,638.44 is: 2,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.77 : 4,091.31 = 1,638.44 : x
  2. Step 2: Convert to fraction form
    2,964.77/4,091.31 = 1,638.44/x
  3. Step 3: Cross multiply
    2,964.77x = 4,091.31 × 1,638.44
  4. Step 4: Simplify right side
    2,964.77x = 6,703,365.96
  5. Step 5: Solve for x
    x = 6,703,365.96/2,964.77
  6. Step 6: Final answer
    x = 2,261.01

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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.