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Finding the Fourth Proportional to 2,014.95, 3,016.23 and 1,285.03

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Solution

The fourth proportional to 2,014.95, 3,016.23 and 1,285.03 is: 1,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.95 : 3,016.23 = 1,285.03 : x
  2. Step 2: Convert to fraction form
    2,014.95/3,016.23 = 1,285.03/x
  3. Step 3: Cross multiply
    2,014.95x = 3,016.23 × 1,285.03
  4. Step 4: Simplify right side
    2,014.95x = 3,875,946.04
  5. Step 5: Solve for x
    x = 3,875,946.04/2,014.95
  6. Step 6: Final answer
    x = 1,923.59

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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.