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Finding the Fourth Proportional to 2,458.39, 3,682.52 and 2,072.42

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Solution

The fourth proportional to 2,458.39, 3,682.52 and 2,072.42 is: 3,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.39 : 3,682.52 = 2,072.42 : x
  2. Step 2: Convert to fraction form
    2,458.39/3,682.52 = 2,072.42/x
  3. Step 3: Cross multiply
    2,458.39x = 3,682.52 × 2,072.42
  4. Step 4: Simplify right side
    2,458.39x = 7,631,717.74
  5. Step 5: Solve for x
    x = 7,631,717.74/2,458.39
  6. Step 6: Final answer
    x = 3,104.36

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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.