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Finding the Fourth Proportional to 2,048.64, 3,072.96 and 1,635.85

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Solution

The fourth proportional to 2,048.64, 3,072.96 and 1,635.85 is: 2,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.64 : 3,072.96 = 1,635.85 : x
  2. Step 2: Convert to fraction form
    2,048.64/3,072.96 = 1,635.85/x
  3. Step 3: Cross multiply
    2,048.64x = 3,072.96 × 1,635.85
  4. Step 4: Simplify right side
    2,048.64x = 5,026,892.77
  5. Step 5: Solve for x
    x = 5,026,892.77/2,048.64
  6. Step 6: Final answer
    x = 2,453.77

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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.