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Finding the Fourth Proportional to 2,735.36, 4,102.80 and 1,638.92

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Solution

The fourth proportional to 2,735.36, 4,102.80 and 1,638.92 is: 2,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.36 : 4,102.80 = 1,638.92 : x
  2. Step 2: Convert to fraction form
    2,735.36/4,102.80 = 1,638.92/x
  3. Step 3: Cross multiply
    2,735.36x = 4,102.80 × 1,638.92
  4. Step 4: Simplify right side
    2,735.36x = 6,724,160.98
  5. Step 5: Solve for x
    x = 6,724,160.98/2,735.36
  6. Step 6: Final answer
    x = 2,458.24

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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.