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Finding the Fourth Proportional to 2,344.53, 3,516.37 and 883.69

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Solution

The fourth proportional to 2,344.53, 3,516.37 and 883.69 is: 1,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.53 : 3,516.37 = 883.69 : x
  2. Step 2: Convert to fraction form
    2,344.53/3,516.37 = 883.69/x
  3. Step 3: Cross multiply
    2,344.53x = 3,516.37 × 883.69
  4. Step 4: Simplify right side
    2,344.53x = 3,107,381.01
  5. Step 5: Solve for x
    x = 3,107,381.01/2,344.53
  6. Step 6: Final answer
    x = 1,325.37

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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.