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Finding the Fourth Proportional to 1,991.25, 2,987.73 and 1,066.55

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Solution

The fourth proportional to 1,991.25, 2,987.73 and 1,066.55 is: 1,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.25 : 2,987.73 = 1,066.55 : x
  2. Step 2: Convert to fraction form
    1,991.25/2,987.73 = 1,066.55/x
  3. Step 3: Cross multiply
    1,991.25x = 2,987.73 × 1,066.55
  4. Step 4: Simplify right side
    1,991.25x = 3,186,548.49
  5. Step 5: Solve for x
    x = 3,186,548.49/1,991.25
  6. Step 6: Final answer
    x = 1,600.28

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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.