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Finding the Fourth Proportional to 1,516.37, 2,269.73 and 995.13

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Solution

The fourth proportional to 1,516.37, 2,269.73 and 995.13 is: 1,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.37 : 2,269.73 = 995.13 : x
  2. Step 2: Convert to fraction form
    1,516.37/2,269.73 = 995.13/x
  3. Step 3: Cross multiply
    1,516.37x = 2,269.73 × 995.13
  4. Step 4: Simplify right side
    1,516.37x = 2,258,678.90
  5. Step 5: Solve for x
    x = 2,258,678.90/1,516.37
  6. Step 6: Final answer
    x = 1,489.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.