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Finding the Fourth Proportional to 1,392.14, 1,921.23 and 794.66

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Solution

The fourth proportional to 1,392.14, 1,921.23 and 794.66 is: 1,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.14 : 1,921.23 = 794.66 : x
  2. Step 2: Convert to fraction form
    1,392.14/1,921.23 = 794.66/x
  3. Step 3: Cross multiply
    1,392.14x = 1,921.23 × 794.66
  4. Step 4: Simplify right side
    1,392.14x = 1,526,715.03
  5. Step 5: Solve for x
    x = 1,526,715.03/1,392.14
  6. Step 6: Final answer
    x = 1,096.67

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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.