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Finding the Fourth Proportional to 2,714.82, 3,744.27 and 1,770.54

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Solution

The fourth proportional to 2,714.82, 3,744.27 and 1,770.54 is: 2,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.82 : 3,744.27 = 1,770.54 : x
  2. Step 2: Convert to fraction form
    2,714.82/3,744.27 = 1,770.54/x
  3. Step 3: Cross multiply
    2,714.82x = 3,744.27 × 1,770.54
  4. Step 4: Simplify right side
    2,714.82x = 6,629,379.81
  5. Step 5: Solve for x
    x = 6,629,379.81/2,714.82
  6. Step 6: Final answer
    x = 2,441.92

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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.