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Finding the Fourth Proportional to 1,542.37, 2,128.47 and 843.73

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Solution

The fourth proportional to 1,542.37, 2,128.47 and 843.73 is: 1,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.37 : 2,128.47 = 843.73 : x
  2. Step 2: Convert to fraction form
    1,542.37/2,128.47 = 843.73/x
  3. Step 3: Cross multiply
    1,542.37x = 2,128.47 × 843.73
  4. Step 4: Simplify right side
    1,542.37x = 1,795,853.99
  5. Step 5: Solve for x
    x = 1,795,853.99/1,542.37
  6. Step 6: Final answer
    x = 1,164.35

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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.