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Finding the Fourth Proportional to 2,277.81, 3,412.14 and 1,043.97

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Solution

The fourth proportional to 2,277.81, 3,412.14 and 1,043.97 is: 1,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.81 : 3,412.14 = 1,043.97 : x
  2. Step 2: Convert to fraction form
    2,277.81/3,412.14 = 1,043.97/x
  3. Step 3: Cross multiply
    2,277.81x = 3,412.14 × 1,043.97
  4. Step 4: Simplify right side
    2,277.81x = 3,562,171.80
  5. Step 5: Solve for x
    x = 3,562,171.80/2,277.81
  6. Step 6: Final answer
    x = 1,563.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.