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Finding the Fourth Proportional to 2,014.12, 3,021.27 and 781.57

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Solution

The fourth proportional to 2,014.12, 3,021.27 and 781.57 is: 1,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.12 : 3,021.27 = 781.57 : x
  2. Step 2: Convert to fraction form
    2,014.12/3,021.27 = 781.57/x
  3. Step 3: Cross multiply
    2,014.12x = 3,021.27 × 781.57
  4. Step 4: Simplify right side
    2,014.12x = 2,361,333.99
  5. Step 5: Solve for x
    x = 2,361,333.99/2,014.12
  6. Step 6: Final answer
    x = 1,172.39

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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.