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Finding the Fourth Proportional to 2,376.63, 3,563.01 and 991.01

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Solution

The fourth proportional to 2,376.63, 3,563.01 and 991.01 is: 1,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.63 : 3,563.01 = 991.01 : x
  2. Step 2: Convert to fraction form
    2,376.63/3,563.01 = 991.01/x
  3. Step 3: Cross multiply
    2,376.63x = 3,563.01 × 991.01
  4. Step 4: Simplify right side
    2,376.63x = 3,530,978.54
  5. Step 5: Solve for x
    x = 3,530,978.54/2,376.63
  6. Step 6: Final answer
    x = 1,485.71

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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.