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Finding the Fourth Proportional to 1,991.53, 2,748.77 and 1,291.69

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Solution

The fourth proportional to 1,991.53, 2,748.77 and 1,291.69 is: 1,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.53 : 2,748.77 = 1,291.69 : x
  2. Step 2: Convert to fraction form
    1,991.53/2,748.77 = 1,291.69/x
  3. Step 3: Cross multiply
    1,991.53x = 2,748.77 × 1,291.69
  4. Step 4: Simplify right side
    1,991.53x = 3,550,558.72
  5. Step 5: Solve for x
    x = 3,550,558.72/1,991.53
  6. Step 6: Final answer
    x = 1,782.83

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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.