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Finding the Fourth Proportional to 3,230.84, 4,458.44 and 1,971.44

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Solution

The fourth proportional to 3,230.84, 4,458.44 and 1,971.44 is: 2,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.84 : 4,458.44 = 1,971.44 : x
  2. Step 2: Convert to fraction form
    3,230.84/4,458.44 = 1,971.44/x
  3. Step 3: Cross multiply
    3,230.84x = 4,458.44 × 1,971.44
  4. Step 4: Simplify right side
    3,230.84x = 8,789,546.31
  5. Step 5: Solve for x
    x = 8,789,546.31/3,230.84
  6. Step 6: Final answer
    x = 2,720.52

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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.