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Finding the Fourth Proportional to 2,384.43, 3,576.71 and 2,277.81

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Solution

The fourth proportional to 2,384.43, 3,576.71 and 2,277.81 is: 3,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.43 : 3,576.71 = 2,277.81 : x
  2. Step 2: Convert to fraction form
    2,384.43/3,576.71 = 2,277.81/x
  3. Step 3: Cross multiply
    2,384.43x = 3,576.71 × 2,277.81
  4. Step 4: Simplify right side
    2,384.43x = 8,147,065.81
  5. Step 5: Solve for x
    x = 8,147,065.81/2,384.43
  6. Step 6: Final answer
    x = 3,416.78

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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.