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Finding the Fourth Proportional to 1,604.84, 2,212.38 and 1,324.67

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Solution

The fourth proportional to 1,604.84, 2,212.38 and 1,324.67 is: 1,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.84 : 2,212.38 = 1,324.67 : x
  2. Step 2: Convert to fraction form
    1,604.84/2,212.38 = 1,324.67/x
  3. Step 3: Cross multiply
    1,604.84x = 2,212.38 × 1,324.67
  4. Step 4: Simplify right side
    1,604.84x = 2,930,662.35
  5. Step 5: Solve for x
    x = 2,930,662.35/1,604.84
  6. Step 6: Final answer
    x = 1,826.15

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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.