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Finding the Fourth Proportional to 2,014.77, 2,997.78 and 1,964.55

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Solution

The fourth proportional to 2,014.77, 2,997.78 and 1,964.55 is: 2,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.77 : 2,997.78 = 1,964.55 : x
  2. Step 2: Convert to fraction form
    2,014.77/2,997.78 = 1,964.55/x
  3. Step 3: Cross multiply
    2,014.77x = 2,997.78 × 1,964.55
  4. Step 4: Simplify right side
    2,014.77x = 5,889,309.15
  5. Step 5: Solve for x
    x = 5,889,309.15/2,014.77
  6. Step 6: Final answer
    x = 2,923.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.