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Finding the Fourth Proportional to 2,066.19, 3,099.63 and 679.22

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Solution

The fourth proportional to 2,066.19, 3,099.63 and 679.22 is: 1,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.19 : 3,099.63 = 679.22 : x
  2. Step 2: Convert to fraction form
    2,066.19/3,099.63 = 679.22/x
  3. Step 3: Cross multiply
    2,066.19x = 3,099.63 × 679.22
  4. Step 4: Simplify right side
    2,066.19x = 2,105,338.44
  5. Step 5: Solve for x
    x = 2,105,338.44/2,066.19
  6. Step 6: Final answer
    x = 1,018.95

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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.