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Finding the Fourth Proportional to 2,066.06, 3,097.33 and 679.03

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Solution

The fourth proportional to 2,066.06, 3,097.33 and 679.03 is: 1,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.06 : 3,097.33 = 679.03 : x
  2. Step 2: Convert to fraction form
    2,066.06/3,097.33 = 679.03/x
  3. Step 3: Cross multiply
    2,066.06x = 3,097.33 × 679.03
  4. Step 4: Simplify right side
    2,066.06x = 2,103,170.55
  5. Step 5: Solve for x
    x = 2,103,170.55/2,066.06
  6. Step 6: Final answer
    x = 1,017.96

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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.