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Finding the Fourth Proportional to 2,014.03, 3,021.55 and 974.53

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Solution

The fourth proportional to 2,014.03, 3,021.55 and 974.53 is: 1,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.03 : 3,021.55 = 974.53 : x
  2. Step 2: Convert to fraction form
    2,014.03/3,021.55 = 974.53/x
  3. Step 3: Cross multiply
    2,014.03x = 3,021.55 × 974.53
  4. Step 4: Simplify right side
    2,014.03x = 2,944,571.14
  5. Step 5: Solve for x
    x = 2,944,571.14/2,014.03
  6. Step 6: Final answer
    x = 1,462.03

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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.