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Finding the Fourth Proportional to 3,254.42, 4,884.14 and 1,694.81

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Solution

The fourth proportional to 3,254.42, 4,884.14 and 1,694.81 is: 2,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.42 : 4,884.14 = 1,694.81 : x
  2. Step 2: Convert to fraction form
    3,254.42/4,884.14 = 1,694.81/x
  3. Step 3: Cross multiply
    3,254.42x = 4,884.14 × 1,694.81
  4. Step 4: Simplify right side
    3,254.42x = 8,277,693.05
  5. Step 5: Solve for x
    x = 8,277,693.05/3,254.42
  6. Step 6: Final answer
    x = 2,543.53

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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.