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Finding the Fourth Proportional to 2,742.75, 4,107.90 and 1,645.01

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Solution

The fourth proportional to 2,742.75, 4,107.90 and 1,645.01 is: 2,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.75 : 4,107.90 = 1,645.01 : x
  2. Step 2: Convert to fraction form
    2,742.75/4,107.90 = 1,645.01/x
  3. Step 3: Cross multiply
    2,742.75x = 4,107.90 × 1,645.01
  4. Step 4: Simplify right side
    2,742.75x = 6,757,516.04
  5. Step 5: Solve for x
    x = 6,757,516.04/2,742.75
  6. Step 6: Final answer
    x = 2,463.77

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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.