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Finding the Fourth Proportional to 1,991, 2,986.32 and 692.48

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Solution

The fourth proportional to 1,991, 2,986.32 and 692.48 is: 1,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991 : 2,986.32 = 692.48 : x
  2. Step 2: Convert to fraction form
    1,991/2,986.32 = 692.48/x
  3. Step 3: Cross multiply
    1,991x = 2,986.32 × 692.48
  4. Step 4: Simplify right side
    1,991x = 2,067,966.87
  5. Step 5: Solve for x
    x = 2,067,966.87/1,991
  6. Step 6: Final answer
    x = 1,038.66

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Why These Related Problems?

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