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Finding the Fourth Proportional to 1,516.83, 2,092.86 and 957.95

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Solution

The fourth proportional to 1,516.83, 2,092.86 and 957.95 is: 1,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.83 : 2,092.86 = 957.95 : x
  2. Step 2: Convert to fraction form
    1,516.83/2,092.86 = 957.95/x
  3. Step 3: Cross multiply
    1,516.83x = 2,092.86 × 957.95
  4. Step 4: Simplify right side
    1,516.83x = 2,004,855.14
  5. Step 5: Solve for x
    x = 2,004,855.14/1,516.83
  6. Step 6: Final answer
    x = 1,321.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.