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Finding the Fourth Proportional to 1,972.45, 2,713.60 and 1,917.78

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Solution

The fourth proportional to 1,972.45, 2,713.60 and 1,917.78 is: 2,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.45 : 2,713.60 = 1,917.78 : x
  2. Step 2: Convert to fraction form
    1,972.45/2,713.60 = 1,917.78/x
  3. Step 3: Cross multiply
    1,972.45x = 2,713.60 × 1,917.78
  4. Step 4: Simplify right side
    1,972.45x = 5,204,064.65
  5. Step 5: Solve for x
    x = 5,204,064.65/1,972.45
  6. Step 6: Final answer
    x = 2,638.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.