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Finding the Fourth Proportional to 2,016.14, 3,023.60 and 783.27

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Solution

The fourth proportional to 2,016.14, 3,023.60 and 783.27 is: 1,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.14 : 3,023.60 = 783.27 : x
  2. Step 2: Convert to fraction form
    2,016.14/3,023.60 = 783.27/x
  3. Step 3: Cross multiply
    2,016.14x = 3,023.60 × 783.27
  4. Step 4: Simplify right side
    2,016.14x = 2,368,291.26
  5. Step 5: Solve for x
    x = 2,368,291.26/2,016.14
  6. Step 6: Final answer
    x = 1,174.67

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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.