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Finding the Fourth Proportional to 2,274.37, 3,407.91 and 2,055.67

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Solution

The fourth proportional to 2,274.37, 3,407.91 and 2,055.67 is: 3,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.37 : 3,407.91 = 2,055.67 : x
  2. Step 2: Convert to fraction form
    2,274.37/3,407.91 = 2,055.67/x
  3. Step 3: Cross multiply
    2,274.37x = 3,407.91 × 2,055.67
  4. Step 4: Simplify right side
    2,274.37x = 7,005,511.03
  5. Step 5: Solve for x
    x = 7,005,511.03/2,274.37
  6. Step 6: Final answer
    x = 3,080.21

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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.