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Finding the Fourth Proportional to 2,847.70, 4,273.71 and 1,921.06

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Solution

The fourth proportional to 2,847.70, 4,273.71 and 1,921.06 is: 2,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.70 : 4,273.71 = 1,921.06 : x
  2. Step 2: Convert to fraction form
    2,847.70/4,273.71 = 1,921.06/x
  3. Step 3: Cross multiply
    2,847.70x = 4,273.71 × 1,921.06
  4. Step 4: Simplify right side
    2,847.70x = 8,210,053.33
  5. Step 5: Solve for x
    x = 8,210,053.33/2,847.70
  6. Step 6: Final answer
    x = 2,883.05

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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.