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Finding the Fourth Proportional to 2,472.84, 3,410.91 and 1,633.14

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Solution

The fourth proportional to 2,472.84, 3,410.91 and 1,633.14 is: 2,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.84 : 3,410.91 = 1,633.14 : x
  2. Step 2: Convert to fraction form
    2,472.84/3,410.91 = 1,633.14/x
  3. Step 3: Cross multiply
    2,472.84x = 3,410.91 × 1,633.14
  4. Step 4: Simplify right side
    2,472.84x = 5,570,493.56
  5. Step 5: Solve for x
    x = 5,570,493.56/2,472.84
  6. Step 6: Final answer
    x = 2,252.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.