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Finding the Fourth Proportional to 2,120, 3,181.35 and 965.75

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Solution

The fourth proportional to 2,120, 3,181.35 and 965.75 is: 1,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 3,181.35 = 965.75 : x
  2. Step 2: Convert to fraction form
    2,120/3,181.35 = 965.75/x
  3. Step 3: Cross multiply
    2,120x = 3,181.35 × 965.75
  4. Step 4: Simplify right side
    2,120x = 3,072,388.76
  5. Step 5: Solve for x
    x = 3,072,388.76/2,120
  6. Step 6: Final answer
    x = 1,449.24

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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.