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Finding the Fourth Proportional to 2,384.43, 3,576.57 and 1,609.53

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Solution

The fourth proportional to 2,384.43, 3,576.57 and 1,609.53 is: 2,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.43 : 3,576.57 = 1,609.53 : x
  2. Step 2: Convert to fraction form
    2,384.43/3,576.57 = 1,609.53/x
  3. Step 3: Cross multiply
    2,384.43x = 3,576.57 × 1,609.53
  4. Step 4: Simplify right side
    2,384.43x = 5,756,596.71
  5. Step 5: Solve for x
    x = 5,756,596.71/2,384.43
  6. Step 6: Final answer
    x = 2,414.24

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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.