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Finding the Fourth Proportional to 1,441.14, 1,989.26 and 999.62

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Solution

The fourth proportional to 1,441.14, 1,989.26 and 999.62 is: 1,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.14 : 1,989.26 = 999.62 : x
  2. Step 2: Convert to fraction form
    1,441.14/1,989.26 = 999.62/x
  3. Step 3: Cross multiply
    1,441.14x = 1,989.26 × 999.62
  4. Step 4: Simplify right side
    1,441.14x = 1,988,504.08
  5. Step 5: Solve for x
    x = 1,988,504.08/1,441.14
  6. Step 6: Final answer
    x = 1,379.81

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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.