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Finding the Fourth Proportional to 2,114.47, 3,172.29 and 1,074.43

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Solution

The fourth proportional to 2,114.47, 3,172.29 and 1,074.43 is: 1,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.47 : 3,172.29 = 1,074.43 : x
  2. Step 2: Convert to fraction form
    2,114.47/3,172.29 = 1,074.43/x
  3. Step 3: Cross multiply
    2,114.47x = 3,172.29 × 1,074.43
  4. Step 4: Simplify right side
    2,114.47x = 3,408,403.54
  5. Step 5: Solve for x
    x = 3,408,403.54/2,114.47
  6. Step 6: Final answer
    x = 1,611.94

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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.