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Finding the Fourth Proportional to 2,964.95, 4,091.72 and 1,638.68

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Solution

The fourth proportional to 2,964.95, 4,091.72 and 1,638.68 is: 2,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.95 : 4,091.72 = 1,638.68 : x
  2. Step 2: Convert to fraction form
    2,964.95/4,091.72 = 1,638.68/x
  3. Step 3: Cross multiply
    2,964.95x = 4,091.72 × 1,638.68
  4. Step 4: Simplify right side
    2,964.95x = 6,705,014.09
  5. Step 5: Solve for x
    x = 6,705,014.09/2,964.95
  6. Step 6: Final answer
    x = 2,261.42

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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.