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Finding the Fourth Proportional to 2,016.04, 3,023.61 and 766.38

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Solution

The fourth proportional to 2,016.04, 3,023.61 and 766.38 is: 1,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.04 : 3,023.61 = 766.38 : x
  2. Step 2: Convert to fraction form
    2,016.04/3,023.61 = 766.38/x
  3. Step 3: Cross multiply
    2,016.04x = 3,023.61 × 766.38
  4. Step 4: Simplify right side
    2,016.04x = 2,317,234.23
  5. Step 5: Solve for x
    x = 2,317,234.23/2,016.04
  6. Step 6: Final answer
    x = 1,149.40

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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.