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Finding the Fourth Proportional to 2,635.58, 3,636.29 and 1,640.04

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Solution

The fourth proportional to 2,635.58, 3,636.29 and 1,640.04 is: 2,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.58 : 3,636.29 = 1,640.04 : x
  2. Step 2: Convert to fraction form
    2,635.58/3,636.29 = 1,640.04/x
  3. Step 3: Cross multiply
    2,635.58x = 3,636.29 × 1,640.04
  4. Step 4: Simplify right side
    2,635.58x = 5,963,652.85
  5. Step 5: Solve for x
    x = 5,963,652.85/2,635.58
  6. Step 6: Final answer
    x = 2,262.75

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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.