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Finding the Fourth Proportional to 2,014.87, 2,777.96 and 1,305.48

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Solution

The fourth proportional to 2,014.87, 2,777.96 and 1,305.48 is: 1,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.87 : 2,777.96 = 1,305.48 : x
  2. Step 2: Convert to fraction form
    2,014.87/2,777.96 = 1,305.48/x
  3. Step 3: Cross multiply
    2,014.87x = 2,777.96 × 1,305.48
  4. Step 4: Simplify right side
    2,014.87x = 3,626,571.22
  5. Step 5: Solve for x
    x = 3,626,571.22/2,014.87
  6. Step 6: Final answer
    x = 1,799.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.