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Finding the Fourth Proportional to 2,066.07, 3,099.21 and 679.53

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Solution

The fourth proportional to 2,066.07, 3,099.21 and 679.53 is: 1,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.07 : 3,099.21 = 679.53 : x
  2. Step 2: Convert to fraction form
    2,066.07/3,099.21 = 679.53/x
  3. Step 3: Cross multiply
    2,066.07x = 3,099.21 × 679.53
  4. Step 4: Simplify right side
    2,066.07x = 2,106,006.17
  5. Step 5: Solve for x
    x = 2,106,006.17/2,066.07
  6. Step 6: Final answer
    x = 1,019.33

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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.