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Finding the Fourth Proportional to 1,516.08, 2,092.24 and 853

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Solution

The fourth proportional to 1,516.08, 2,092.24 and 853 is: 1,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.08 : 2,092.24 = 853 : x
  2. Step 2: Convert to fraction form
    1,516.08/2,092.24 = 853/x
  3. Step 3: Cross multiply
    1,516.08x = 2,092.24 × 853
  4. Step 4: Simplify right side
    1,516.08x = 1,784,680.72
  5. Step 5: Solve for x
    x = 1,784,680.72/1,516.08
  6. Step 6: Final answer
    x = 1,177.17

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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.