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Finding the Fourth Proportional to 1,362.37, 2,042.34 and 996.67

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Solution

The fourth proportional to 1,362.37, 2,042.34 and 996.67 is: 1,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.37 : 2,042.34 = 996.67 : x
  2. Step 2: Convert to fraction form
    1,362.37/2,042.34 = 996.67/x
  3. Step 3: Cross multiply
    1,362.37x = 2,042.34 × 996.67
  4. Step 4: Simplify right side
    1,362.37x = 2,035,539.01
  5. Step 5: Solve for x
    x = 2,035,539.01/1,362.37
  6. Step 6: Final answer
    x = 1,494.12

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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.