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Finding the Fourth Proportional to 2,032.14, 3,049.08 and 992.94

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Solution

The fourth proportional to 2,032.14, 3,049.08 and 992.94 is: 1,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.14 : 3,049.08 = 992.94 : x
  2. Step 2: Convert to fraction form
    2,032.14/3,049.08 = 992.94/x
  3. Step 3: Cross multiply
    2,032.14x = 3,049.08 × 992.94
  4. Step 4: Simplify right side
    2,032.14x = 3,027,553.50
  5. Step 5: Solve for x
    x = 3,027,553.50/2,032.14
  6. Step 6: Final answer
    x = 1,489.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.