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Finding the Fourth Proportional to 2,914.81, 4,022.53 and 1,638.90

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Solution

The fourth proportional to 2,914.81, 4,022.53 and 1,638.90 is: 2,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.81 : 4,022.53 = 1,638.90 : x
  2. Step 2: Convert to fraction form
    2,914.81/4,022.53 = 1,638.90/x
  3. Step 3: Cross multiply
    2,914.81x = 4,022.53 × 1,638.90
  4. Step 4: Simplify right side
    2,914.81x = 6,592,520.32
  5. Step 5: Solve for x
    x = 6,592,520.32/2,914.81
  6. Step 6: Final answer
    x = 2,261.73

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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.