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Finding the Fourth Proportional to 1,493.94, 2,061.16 and 996.67

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Solution

The fourth proportional to 1,493.94, 2,061.16 and 996.67 is: 1,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.94 : 2,061.16 = 996.67 : x
  2. Step 2: Convert to fraction form
    1,493.94/2,061.16 = 996.67/x
  3. Step 3: Cross multiply
    1,493.94x = 2,061.16 × 996.67
  4. Step 4: Simplify right side
    1,493.94x = 2,054,296.34
  5. Step 5: Solve for x
    x = 2,054,296.34/1,493.94
  6. Step 6: Final answer
    x = 1,375.09

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