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Finding the Fourth Proportional to 2,991.41, 4,486.77 and 800.31

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Solution

The fourth proportional to 2,991.41, 4,486.77 and 800.31 is: 1,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.41 : 4,486.77 = 800.31 : x
  2. Step 2: Convert to fraction form
    2,991.41/4,486.77 = 800.31/x
  3. Step 3: Cross multiply
    2,991.41x = 4,486.77 × 800.31
  4. Step 4: Simplify right side
    2,991.41x = 3,590,803.90
  5. Step 5: Solve for x
    x = 3,590,803.90/2,991.41
  6. Step 6: Final answer
    x = 1,200.37

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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.