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Finding the Fourth Proportional to 2,014.02, 3,001.23 and 1,947.96

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Solution

The fourth proportional to 2,014.02, 3,001.23 and 1,947.96 is: 2,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.02 : 3,001.23 = 1,947.96 : x
  2. Step 2: Convert to fraction form
    2,014.02/3,001.23 = 1,947.96/x
  3. Step 3: Cross multiply
    2,014.02x = 3,001.23 × 1,947.96
  4. Step 4: Simplify right side
    2,014.02x = 5,846,275.99
  5. Step 5: Solve for x
    x = 5,846,275.99/2,014.02
  6. Step 6: Final answer
    x = 2,902.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.