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Finding the Fourth Proportional to 2,770.53, 3,821.63 and 1,650.69

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Solution

The fourth proportional to 2,770.53, 3,821.63 and 1,650.69 is: 2,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.53 : 3,821.63 = 1,650.69 : x
  2. Step 2: Convert to fraction form
    2,770.53/3,821.63 = 1,650.69/x
  3. Step 3: Cross multiply
    2,770.53x = 3,821.63 × 1,650.69
  4. Step 4: Simplify right side
    2,770.53x = 6,308,318.17
  5. Step 5: Solve for x
    x = 6,308,318.17/2,770.53
  6. Step 6: Final answer
    x = 2,276.94

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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.