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Finding the Fourth Proportional to 2,016.86, 3,023.09 and 783.90

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Solution

The fourth proportional to 2,016.86, 3,023.09 and 783.90 is: 1,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.86 : 3,023.09 = 783.90 : x
  2. Step 2: Convert to fraction form
    2,016.86/3,023.09 = 783.90/x
  3. Step 3: Cross multiply
    2,016.86x = 3,023.09 × 783.90
  4. Step 4: Simplify right side
    2,016.86x = 2,369,800.25
  5. Step 5: Solve for x
    x = 2,369,800.25/2,016.86
  6. Step 6: Final answer
    x = 1,174.99

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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.