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Finding the Fourth Proportional to 2,427.68, 3,636.04 and 1,451.73

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Solution

The fourth proportional to 2,427.68, 3,636.04 and 1,451.73 is: 2,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.68 : 3,636.04 = 1,451.73 : x
  2. Step 2: Convert to fraction form
    2,427.68/3,636.04 = 1,451.73/x
  3. Step 3: Cross multiply
    2,427.68x = 3,636.04 × 1,451.73
  4. Step 4: Simplify right side
    2,427.68x = 5,278,548.35
  5. Step 5: Solve for x
    x = 5,278,548.35/2,427.68
  6. Step 6: Final answer
    x = 2,174.32

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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.