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Finding the Fourth Proportional to 2,456.90, 3,682.20 and 1,636.78

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Solution

The fourth proportional to 2,456.90, 3,682.20 and 1,636.78 is: 2,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.90 : 3,682.20 = 1,636.78 : x
  2. Step 2: Convert to fraction form
    2,456.90/3,682.20 = 1,636.78/x
  3. Step 3: Cross multiply
    2,456.90x = 3,682.20 × 1,636.78
  4. Step 4: Simplify right side
    2,456.90x = 6,026,951.32
  5. Step 5: Solve for x
    x = 6,026,951.32/2,456.90
  6. Step 6: Final answer
    x = 2,453.07

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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.