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Finding the Fourth Proportional to 2,698.06, 3,725.04 and 1,954.48

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Solution

The fourth proportional to 2,698.06, 3,725.04 and 1,954.48 is: 2,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.06 : 3,725.04 = 1,954.48 : x
  2. Step 2: Convert to fraction form
    2,698.06/3,725.04 = 1,954.48/x
  3. Step 3: Cross multiply
    2,698.06x = 3,725.04 × 1,954.48
  4. Step 4: Simplify right side
    2,698.06x = 7,280,516.18
  5. Step 5: Solve for x
    x = 7,280,516.18/2,698.06
  6. Step 6: Final answer
    x = 2,698.43

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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.