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Finding the Fourth Proportional to 1,516.22, 2,092.15 and 853.06

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Solution

The fourth proportional to 1,516.22, 2,092.15 and 853.06 is: 1,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.22 : 2,092.15 = 853.06 : x
  2. Step 2: Convert to fraction form
    1,516.22/2,092.15 = 853.06/x
  3. Step 3: Cross multiply
    1,516.22x = 2,092.15 × 853.06
  4. Step 4: Simplify right side
    1,516.22x = 1,784,725.75
  5. Step 5: Solve for x
    x = 1,784,725.75/1,516.22
  6. Step 6: Final answer
    x = 1,177.09

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