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Finding the Fourth Proportional to 2,964.66, 4,091.15 and 1,638.35

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Solution

The fourth proportional to 2,964.66, 4,091.15 and 1,638.35 is: 2,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.66 : 4,091.15 = 1,638.35 : x
  2. Step 2: Convert to fraction form
    2,964.66/4,091.15 = 1,638.35/x
  3. Step 3: Cross multiply
    2,964.66x = 4,091.15 × 1,638.35
  4. Step 4: Simplify right side
    2,964.66x = 6,702,706.96
  5. Step 5: Solve for x
    x = 6,702,706.96/2,964.66
  6. Step 6: Final answer
    x = 2,260.87

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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.