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Finding the Fourth Proportional to 2,735.97, 4,104.50 and 1,004.61

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Solution

The fourth proportional to 2,735.97, 4,104.50 and 1,004.61 is: 1,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.97 : 4,104.50 = 1,004.61 : x
  2. Step 2: Convert to fraction form
    2,735.97/4,104.50 = 1,004.61/x
  3. Step 3: Cross multiply
    2,735.97x = 4,104.50 × 1,004.61
  4. Step 4: Simplify right side
    2,735.97x = 4,123,416.72
  5. Step 5: Solve for x
    x = 4,123,416.72/2,735.97
  6. Step 6: Final answer
    x = 1,507.11

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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.