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Finding the Fourth Proportional to 1,924.14, 2,887.11 and 949.71

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Solution

The fourth proportional to 1,924.14, 2,887.11 and 949.71 is: 1,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.14 : 2,887.11 = 949.71 : x
  2. Step 2: Convert to fraction form
    1,924.14/2,887.11 = 949.71/x
  3. Step 3: Cross multiply
    1,924.14x = 2,887.11 × 949.71
  4. Step 4: Simplify right side
    1,924.14x = 2,741,917.24
  5. Step 5: Solve for x
    x = 2,741,917.24/1,924.14
  6. Step 6: Final answer
    x = 1,425.01

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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.