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Finding the Fourth Proportional to 2,014.63, 3,017.74 and 1,945

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Solution

The fourth proportional to 2,014.63, 3,017.74 and 1,945 is: 2,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.63 : 3,017.74 = 1,945 : x
  2. Step 2: Convert to fraction form
    2,014.63/3,017.74 = 1,945/x
  3. Step 3: Cross multiply
    2,014.63x = 3,017.74 × 1,945
  4. Step 4: Simplify right side
    2,014.63x = 5,869,504.30
  5. Step 5: Solve for x
    x = 5,869,504.30/2,014.63
  6. Step 6: Final answer
    x = 2,913.44

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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.