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Finding the Fourth Proportional to 1,516.14, 2,092.14 and 852.93

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Solution

The fourth proportional to 1,516.14, 2,092.14 and 852.93 is: 1,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.14 : 2,092.14 = 852.93 : x
  2. Step 2: Convert to fraction form
    1,516.14/2,092.14 = 852.93/x
  3. Step 3: Cross multiply
    1,516.14x = 2,092.14 × 852.93
  4. Step 4: Simplify right side
    1,516.14x = 1,784,448.97
  5. Step 5: Solve for x
    x = 1,784,448.97/1,516.14
  6. Step 6: Final answer
    x = 1,176.97

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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.