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Finding the Fourth Proportional to 2,016.89, 3,023.52 and 1,400.89

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Solution

The fourth proportional to 2,016.89, 3,023.52 and 1,400.89 is: 2,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.89 : 3,023.52 = 1,400.89 : x
  2. Step 2: Convert to fraction form
    2,016.89/3,023.52 = 1,400.89/x
  3. Step 3: Cross multiply
    2,016.89x = 3,023.52 × 1,400.89
  4. Step 4: Simplify right side
    2,016.89x = 4,235,606.12
  5. Step 5: Solve for x
    x = 4,235,606.12/2,016.89
  6. Step 6: Final answer
    x = 2,100.07

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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.