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Finding the Fourth Proportional to 1,441.01, 1,986.89 and 943.49

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Solution

The fourth proportional to 1,441.01, 1,986.89 and 943.49 is: 1,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.01 : 1,986.89 = 943.49 : x
  2. Step 2: Convert to fraction form
    1,441.01/1,986.89 = 943.49/x
  3. Step 3: Cross multiply
    1,441.01x = 1,986.89 × 943.49
  4. Step 4: Simplify right side
    1,441.01x = 1,874,596.19
  5. Step 5: Solve for x
    x = 1,874,596.19/1,441.01
  6. Step 6: Final answer
    x = 1,300.89

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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.