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Finding the Fourth Proportional to 2,992.57, 4,485.96 and 1,676.96

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Solution

The fourth proportional to 2,992.57, 4,485.96 and 1,676.96 is: 2,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.57 : 4,485.96 = 1,676.96 : x
  2. Step 2: Convert to fraction form
    2,992.57/4,485.96 = 1,676.96/x
  3. Step 3: Cross multiply
    2,992.57x = 4,485.96 × 1,676.96
  4. Step 4: Simplify right side
    2,992.57x = 7,522,775.48
  5. Step 5: Solve for x
    x = 7,522,775.48/2,992.57
  6. Step 6: Final answer
    x = 2,513.82

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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.