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Finding the Fourth Proportional to 1,992.96, 2,750.24 and 1,096.65

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Solution

The fourth proportional to 1,992.96, 2,750.24 and 1,096.65 is: 1,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.96 : 2,750.24 = 1,096.65 : x
  2. Step 2: Convert to fraction form
    1,992.96/2,750.24 = 1,096.65/x
  3. Step 3: Cross multiply
    1,992.96x = 2,750.24 × 1,096.65
  4. Step 4: Simplify right side
    1,992.96x = 3,016,045.21
  5. Step 5: Solve for x
    x = 3,016,045.21/1,992.96
  6. Step 6: Final answer
    x = 1,513.35

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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.