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Finding the Fourth Proportional to 1,512.87, 2,084.73 and 1,092.48

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Solution

The fourth proportional to 1,512.87, 2,084.73 and 1,092.48 is: 1,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.87 : 2,084.73 = 1,092.48 : x
  2. Step 2: Convert to fraction form
    1,512.87/2,084.73 = 1,092.48/x
  3. Step 3: Cross multiply
    1,512.87x = 2,084.73 × 1,092.48
  4. Step 4: Simplify right side
    1,512.87x = 2,277,525.83
  5. Step 5: Solve for x
    x = 2,277,525.83/1,512.87
  6. Step 6: Final answer
    x = 1,505.43

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1.5x scale

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.