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Finding the Fourth Proportional to 2,066.49, 3,099.94 and 679.77

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Solution

The fourth proportional to 2,066.49, 3,099.94 and 679.77 is: 1,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.49 : 3,099.94 = 679.77 : x
  2. Step 2: Convert to fraction form
    2,066.49/3,099.94 = 679.77/x
  3. Step 3: Cross multiply
    2,066.49x = 3,099.94 × 679.77
  4. Step 4: Simplify right side
    2,066.49x = 2,107,246.21
  5. Step 5: Solve for x
    x = 2,107,246.21/2,066.49
  6. Step 6: Final answer
    x = 1,019.72

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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.