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Finding the Fourth Proportional to 2,014.53, 3,020.37 and 917.38

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Solution

The fourth proportional to 2,014.53, 3,020.37 and 917.38 is: 1,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.53 : 3,020.37 = 917.38 : x
  2. Step 2: Convert to fraction form
    2,014.53/3,020.37 = 917.38/x
  3. Step 3: Cross multiply
    2,014.53x = 3,020.37 × 917.38
  4. Step 4: Simplify right side
    2,014.53x = 2,770,827.03
  5. Step 5: Solve for x
    x = 2,770,827.03/2,014.53
  6. Step 6: Final answer
    x = 1,375.42

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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.