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Finding the Fourth Proportional to 2,983.70, 4,474.11 and 1,751.51

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Solution

The fourth proportional to 2,983.70, 4,474.11 and 1,751.51 is: 2,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.70 : 4,474.11 = 1,751.51 : x
  2. Step 2: Convert to fraction form
    2,983.70/4,474.11 = 1,751.51/x
  3. Step 3: Cross multiply
    2,983.70x = 4,474.11 × 1,751.51
  4. Step 4: Simplify right side
    2,983.70x = 7,836,448.41
  5. Step 5: Solve for x
    x = 7,836,448.41/2,983.70
  6. Step 6: Final answer
    x = 2,626.42

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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.