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Finding the Fourth Proportional to 1,516.27, 2,269.99 and 1,152.49

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Solution

The fourth proportional to 1,516.27, 2,269.99 and 1,152.49 is: 1,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.27 : 2,269.99 = 1,152.49 : x
  2. Step 2: Convert to fraction form
    1,516.27/2,269.99 = 1,152.49/x
  3. Step 3: Cross multiply
    1,516.27x = 2,269.99 × 1,152.49
  4. Step 4: Simplify right side
    1,516.27x = 2,616,140.78
  5. Step 5: Solve for x
    x = 2,616,140.78/1,516.27
  6. Step 6: Final answer
    x = 1,725.38

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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.