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Finding the Fourth Proportional to 2,483.22, 3,723.67 and 839.33

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Solution

The fourth proportional to 2,483.22, 3,723.67 and 839.33 is: 1,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.22 : 3,723.67 = 839.33 : x
  2. Step 2: Convert to fraction form
    2,483.22/3,723.67 = 839.33/x
  3. Step 3: Cross multiply
    2,483.22x = 3,723.67 × 839.33
  4. Step 4: Simplify right side
    2,483.22x = 3,125,387.94
  5. Step 5: Solve for x
    x = 3,125,387.94/2,483.22
  6. Step 6: Final answer
    x = 1,258.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.