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Finding the Fourth Proportional to 2,636.65, 3,638.49 and 1,441.60

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Solution

The fourth proportional to 2,636.65, 3,638.49 and 1,441.60 is: 1,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.65 : 3,638.49 = 1,441.60 : x
  2. Step 2: Convert to fraction form
    2,636.65/3,638.49 = 1,441.60/x
  3. Step 3: Cross multiply
    2,636.65x = 3,638.49 × 1,441.60
  4. Step 4: Simplify right side
    2,636.65x = 5,245,232.68
  5. Step 5: Solve for x
    x = 5,245,232.68/2,636.65
  6. Step 6: Final answer
    x = 1,989.35

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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.