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Finding the Fourth Proportional to 2,612.20, 3,924.70 and 1,964.20

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Solution

The fourth proportional to 2,612.20, 3,924.70 and 1,964.20 is: 2,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.20 : 3,924.70 = 1,964.20 : x
  2. Step 2: Convert to fraction form
    2,612.20/3,924.70 = 1,964.20/x
  3. Step 3: Cross multiply
    2,612.20x = 3,924.70 × 1,964.20
  4. Step 4: Simplify right side
    2,612.20x = 7,708,895.74
  5. Step 5: Solve for x
    x = 7,708,895.74/2,612.20
  6. Step 6: Final answer
    x = 2,951.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.