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Finding the Fourth Proportional to 2,014.87, 3,023.09 and 1,628.47

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Solution

The fourth proportional to 2,014.87, 3,023.09 and 1,628.47 is: 2,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.87 : 3,023.09 = 1,628.47 : x
  2. Step 2: Convert to fraction form
    2,014.87/3,023.09 = 1,628.47/x
  3. Step 3: Cross multiply
    2,014.87x = 3,023.09 × 1,628.47
  4. Step 4: Simplify right side
    2,014.87x = 4,923,011.37
  5. Step 5: Solve for x
    x = 4,923,011.37/2,014.87
  6. Step 6: Final answer
    x = 2,443.34

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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.