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Finding the Fourth Proportional to 2,959.94, 4,084.83 and 1,912.01

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Solution

The fourth proportional to 2,959.94, 4,084.83 and 1,912.01 is: 2,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.94 : 4,084.83 = 1,912.01 : x
  2. Step 2: Convert to fraction form
    2,959.94/4,084.83 = 1,912.01/x
  3. Step 3: Cross multiply
    2,959.94x = 4,084.83 × 1,912.01
  4. Step 4: Simplify right side
    2,959.94x = 7,810,215.38
  5. Step 5: Solve for x
    x = 7,810,215.38/2,959.94
  6. Step 6: Final answer
    x = 2,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.