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Finding the Fourth Proportional to 2,527.81, 3,789.26 and 966.61

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Solution

The fourth proportional to 2,527.81, 3,789.26 and 966.61 is: 1,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.81 : 3,789.26 = 966.61 : x
  2. Step 2: Convert to fraction form
    2,527.81/3,789.26 = 966.61/x
  3. Step 3: Cross multiply
    2,527.81x = 3,789.26 × 966.61
  4. Step 4: Simplify right side
    2,527.81x = 3,662,732.88
  5. Step 5: Solve for x
    x = 3,662,732.88/2,527.81
  6. Step 6: Final answer
    x = 1,448.98

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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.