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Finding the Fourth Proportional to 3,164.32, 4,744.50 and 1,214.20

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Solution

The fourth proportional to 3,164.32, 4,744.50 and 1,214.20 is: 1,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.32 : 4,744.50 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    3,164.32/4,744.50 = 1,214.20/x
  3. Step 3: Cross multiply
    3,164.32x = 4,744.50 × 1,214.20
  4. Step 4: Simplify right side
    3,164.32x = 5,760,771.90
  5. Step 5: Solve for x
    x = 5,760,771.90/3,164.32
  6. Step 6: Final answer
    x = 1,820.54

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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.