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Finding the Fourth Proportional to 2,964.69, 4,091.32 and 1,638.31

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Solution

The fourth proportional to 2,964.69, 4,091.32 and 1,638.31 is: 2,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.69 : 4,091.32 = 1,638.31 : x
  2. Step 2: Convert to fraction form
    2,964.69/4,091.32 = 1,638.31/x
  3. Step 3: Cross multiply
    2,964.69x = 4,091.32 × 1,638.31
  4. Step 4: Simplify right side
    2,964.69x = 6,702,850.47
  5. Step 5: Solve for x
    x = 6,702,850.47/2,964.69
  6. Step 6: Final answer
    x = 2,260.89

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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.