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Finding the Fourth Proportional to 2,751.75, 4,125.72 and 1,107.84

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Solution

The fourth proportional to 2,751.75, 4,125.72 and 1,107.84 is: 1,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.75 : 4,125.72 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    2,751.75/4,125.72 = 1,107.84/x
  3. Step 3: Cross multiply
    2,751.75x = 4,125.72 × 1,107.84
  4. Step 4: Simplify right side
    2,751.75x = 4,570,637.64
  5. Step 5: Solve for x
    x = 4,570,637.64/2,751.75
  6. Step 6: Final answer
    x = 1,660.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.