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Finding the Fourth Proportional to 2,735.64, 4,103.46 and 1,638.63

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Solution

The fourth proportional to 2,735.64, 4,103.46 and 1,638.63 is: 2,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.64 : 4,103.46 = 1,638.63 : x
  2. Step 2: Convert to fraction form
    2,735.64/4,103.46 = 1,638.63/x
  3. Step 3: Cross multiply
    2,735.64x = 4,103.46 × 1,638.63
  4. Step 4: Simplify right side
    2,735.64x = 6,724,052.66
  5. Step 5: Solve for x
    x = 6,724,052.66/2,735.64
  6. Step 6: Final answer
    x = 2,457.95

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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.