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Finding the Fourth Proportional to 2,271.84, 3,408.79 and 2,054.49

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Solution

The fourth proportional to 2,271.84, 3,408.79 and 2,054.49 is: 3,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.84 : 3,408.79 = 2,054.49 : x
  2. Step 2: Convert to fraction form
    2,271.84/3,408.79 = 2,054.49/x
  3. Step 3: Cross multiply
    2,271.84x = 3,408.79 × 2,054.49
  4. Step 4: Simplify right side
    2,271.84x = 7,003,324.97
  5. Step 5: Solve for x
    x = 7,003,324.97/2,271.84
  6. Step 6: Final answer
    x = 3,082.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.