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Finding the Fourth Proportional to 2,344.27, 3,516.89 and 883.41

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Solution

The fourth proportional to 2,344.27, 3,516.89 and 883.41 is: 1,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.27 : 3,516.89 = 883.41 : x
  2. Step 2: Convert to fraction form
    2,344.27/3,516.89 = 883.41/x
  3. Step 3: Cross multiply
    2,344.27x = 3,516.89 × 883.41
  4. Step 4: Simplify right side
    2,344.27x = 3,106,845.64
  5. Step 5: Solve for x
    x = 3,106,845.64/2,344.27
  6. Step 6: Final answer
    x = 1,325.30

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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.