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Finding the Fourth Proportional to 2,027.84, 2,812.73 and 1,954.02

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Solution

The fourth proportional to 2,027.84, 2,812.73 and 1,954.02 is: 2,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.84 : 2,812.73 = 1,954.02 : x
  2. Step 2: Convert to fraction form
    2,027.84/2,812.73 = 1,954.02/x
  3. Step 3: Cross multiply
    2,027.84x = 2,812.73 × 1,954.02
  4. Step 4: Simplify right side
    2,027.84x = 5,496,131.45
  5. Step 5: Solve for x
    x = 5,496,131.45/2,027.84
  6. Step 6: Final answer
    x = 2,710.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.