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Finding the Fourth Proportional to 1,608.46, 2,203.52 and 1,548.48

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Solution

The fourth proportional to 1,608.46, 2,203.52 and 1,548.48 is: 2,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.46 : 2,203.52 = 1,548.48 : x
  2. Step 2: Convert to fraction form
    1,608.46/2,203.52 = 1,548.48/x
  3. Step 3: Cross multiply
    1,608.46x = 2,203.52 × 1,548.48
  4. Step 4: Simplify right side
    1,608.46x = 3,412,106.65
  5. Step 5: Solve for x
    x = 3,412,106.65/1,608.46
  6. Step 6: Final answer
    x = 2,121.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.