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Finding the Fourth Proportional to 1,921.72, 2,883.39 and 947.83

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Solution

The fourth proportional to 1,921.72, 2,883.39 and 947.83 is: 1,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.72 : 2,883.39 = 947.83 : x
  2. Step 2: Convert to fraction form
    1,921.72/2,883.39 = 947.83/x
  3. Step 3: Cross multiply
    1,921.72x = 2,883.39 × 947.83
  4. Step 4: Simplify right side
    1,921.72x = 2,732,963.54
  5. Step 5: Solve for x
    x = 2,732,963.54/1,921.72
  6. Step 6: Final answer
    x = 1,422.14

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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.