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Finding the Fourth Proportional to 1,972.58, 2,713.77 and 1,917.90

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Solution

The fourth proportional to 1,972.58, 2,713.77 and 1,917.90 is: 2,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.58 : 2,713.77 = 1,917.90 : x
  2. Step 2: Convert to fraction form
    1,972.58/2,713.77 = 1,917.90/x
  3. Step 3: Cross multiply
    1,972.58x = 2,713.77 × 1,917.90
  4. Step 4: Simplify right side
    1,972.58x = 5,204,739.48
  5. Step 5: Solve for x
    x = 5,204,739.48/1,972.58
  6. Step 6: Final answer
    x = 2,638.55

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