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Finding the Fourth Proportional to 2,770.85, 3,822.81 and 1,776.68

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Solution

The fourth proportional to 2,770.85, 3,822.81 and 1,776.68 is: 2,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.85 : 3,822.81 = 1,776.68 : x
  2. Step 2: Convert to fraction form
    2,770.85/3,822.81 = 1,776.68/x
  3. Step 3: Cross multiply
    2,770.85x = 3,822.81 × 1,776.68
  4. Step 4: Simplify right side
    2,770.85x = 6,791,890.96
  5. Step 5: Solve for x
    x = 6,791,890.96/2,770.85
  6. Step 6: Final answer
    x = 2,451.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.