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Finding the Fourth Proportional to 2,181.85, 3,274.13 and 883.33

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Solution

The fourth proportional to 2,181.85, 3,274.13 and 883.33 is: 1,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.85 : 3,274.13 = 883.33 : x
  2. Step 2: Convert to fraction form
    2,181.85/3,274.13 = 883.33/x
  3. Step 3: Cross multiply
    2,181.85x = 3,274.13 × 883.33
  4. Step 4: Simplify right side
    2,181.85x = 2,892,137.25
  5. Step 5: Solve for x
    x = 2,892,137.25/2,181.85
  6. Step 6: Final answer
    x = 1,325.54

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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.