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Finding the Fourth Proportional to 1,991.40, 2,987.69 and 804.82

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Solution

The fourth proportional to 1,991.40, 2,987.69 and 804.82 is: 1,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.40 : 2,987.69 = 804.82 : x
  2. Step 2: Convert to fraction form
    1,991.40/2,987.69 = 804.82/x
  3. Step 3: Cross multiply
    1,991.40x = 2,987.69 × 804.82
  4. Step 4: Simplify right side
    1,991.40x = 2,404,552.67
  5. Step 5: Solve for x
    x = 2,404,552.67/1,991.40
  6. Step 6: Final answer
    x = 1,207.47

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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.