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Finding the Fourth Proportional to 2,776.34, 4,162.45 and 1,680.44

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Solution

The fourth proportional to 2,776.34, 4,162.45 and 1,680.44 is: 2,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.34 : 4,162.45 = 1,680.44 : x
  2. Step 2: Convert to fraction form
    2,776.34/4,162.45 = 1,680.44/x
  3. Step 3: Cross multiply
    2,776.34x = 4,162.45 × 1,680.44
  4. Step 4: Simplify right side
    2,776.34x = 6,994,739.08
  5. Step 5: Solve for x
    x = 6,994,739.08/2,776.34
  6. Step 6: Final answer
    x = 2,519.41

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