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Finding the Fourth Proportional to 1,991.75, 2,986.00 and 692.51

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Solution

The fourth proportional to 1,991.75, 2,986.00 and 692.51 is: 1,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.75 : 2,986.00 = 692.51 : x
  2. Step 2: Convert to fraction form
    1,991.75/2,986.00 = 692.51/x
  3. Step 3: Cross multiply
    1,991.75x = 2,986.00 × 692.51
  4. Step 4: Simplify right side
    1,991.75x = 2,067,818.20
  5. Step 5: Solve for x
    x = 2,067,818.20/1,991.75
  6. Step 6: Final answer
    x = 1,038.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.