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Finding the Fourth Proportional to 2,635.41, 3,636.90 and 1,456.44

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Solution

The fourth proportional to 2,635.41, 3,636.90 and 1,456.44 is: 2,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.41 : 3,636.90 = 1,456.44 : x
  2. Step 2: Convert to fraction form
    2,635.41/3,636.90 = 1,456.44/x
  3. Step 3: Cross multiply
    2,635.41x = 3,636.90 × 1,456.44
  4. Step 4: Simplify right side
    2,635.41x = 5,296,926.64
  5. Step 5: Solve for x
    x = 5,296,926.64/2,635.41
  6. Step 6: Final answer
    x = 2,009.91

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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.