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Finding the Fourth Proportional to 2,722.20, 4,083.29 and 670.20

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Solution

The fourth proportional to 2,722.20, 4,083.29 and 670.20 is: 1,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.20 : 4,083.29 = 670.20 : x
  2. Step 2: Convert to fraction form
    2,722.20/4,083.29 = 670.20/x
  3. Step 3: Cross multiply
    2,722.20x = 4,083.29 × 670.20
  4. Step 4: Simplify right side
    2,722.20x = 2,736,620.96
  5. Step 5: Solve for x
    x = 2,736,620.96/2,722.20
  6. Step 6: Final answer
    x = 1,005.30

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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.