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Finding the Fourth Proportional to 2,492.97, 3,738.84 and 1,676.19

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Solution

The fourth proportional to 2,492.97, 3,738.84 and 1,676.19 is: 2,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.97 : 3,738.84 = 1,676.19 : x
  2. Step 2: Convert to fraction form
    2,492.97/3,738.84 = 1,676.19/x
  3. Step 3: Cross multiply
    2,492.97x = 3,738.84 × 1,676.19
  4. Step 4: Simplify right side
    2,492.97x = 6,267,006.22
  5. Step 5: Solve for x
    x = 6,267,006.22/2,492.97
  6. Step 6: Final answer
    x = 2,513.87

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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.