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Finding the Fourth Proportional to 2,635.57, 3,635.42 and 2,004.72

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Solution

The fourth proportional to 2,635.57, 3,635.42 and 2,004.72 is: 2,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.57 : 3,635.42 = 2,004.72 : x
  2. Step 2: Convert to fraction form
    2,635.57/3,635.42 = 2,004.72/x
  3. Step 3: Cross multiply
    2,635.57x = 3,635.42 × 2,004.72
  4. Step 4: Simplify right side
    2,635.57x = 7,287,970.98
  5. Step 5: Solve for x
    x = 7,287,970.98/2,635.57
  6. Step 6: Final answer
    x = 2,765.24

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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.