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Finding the Fourth Proportional to 2,074.94, 2,847.31 and 1,887.00

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Solution

The fourth proportional to 2,074.94, 2,847.31 and 1,887.00 is: 2,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.94 : 2,847.31 = 1,887.00 : x
  2. Step 2: Convert to fraction form
    2,074.94/2,847.31 = 1,887.00/x
  3. Step 3: Cross multiply
    2,074.94x = 2,847.31 × 1,887.00
  4. Step 4: Simplify right side
    2,074.94x = 5,372,858.58
  5. Step 5: Solve for x
    x = 5,372,858.58/2,074.94
  6. Step 6: Final answer
    x = 2,589.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.