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Finding the Fourth Proportional to 1,524.43, 2,103.38 and 993.26

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Solution

The fourth proportional to 1,524.43, 2,103.38 and 993.26 is: 1,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.43 : 2,103.38 = 993.26 : x
  2. Step 2: Convert to fraction form
    1,524.43/2,103.38 = 993.26/x
  3. Step 3: Cross multiply
    1,524.43x = 2,103.38 × 993.26
  4. Step 4: Simplify right side
    1,524.43x = 2,089,203.22
  5. Step 5: Solve for x
    x = 2,089,203.22/1,524.43
  6. Step 6: Final answer
    x = 1,370.48

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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.