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Finding the Fourth Proportional to 1,420.67, 1,958.81 and 1,184.96

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Solution

The fourth proportional to 1,420.67, 1,958.81 and 1,184.96 is: 1,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.67 : 1,958.81 = 1,184.96 : x
  2. Step 2: Convert to fraction form
    1,420.67/1,958.81 = 1,184.96/x
  3. Step 3: Cross multiply
    1,420.67x = 1,958.81 × 1,184.96
  4. Step 4: Simplify right side
    1,420.67x = 2,321,119.36
  5. Step 5: Solve for x
    x = 2,321,119.36/1,420.67
  6. Step 6: Final answer
    x = 1,633.82

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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.