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Finding the Fourth Proportional to 1,516.12, 2,092.32 and 852.88

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Solution

The fourth proportional to 1,516.12, 2,092.32 and 852.88 is: 1,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.12 : 2,092.32 = 852.88 : x
  2. Step 2: Convert to fraction form
    1,516.12/2,092.32 = 852.88/x
  3. Step 3: Cross multiply
    1,516.12x = 2,092.32 × 852.88
  4. Step 4: Simplify right side
    1,516.12x = 1,784,497.88
  5. Step 5: Solve for x
    x = 1,784,497.88/1,516.12
  6. Step 6: Final answer
    x = 1,177.02

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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.