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Finding the Fourth Proportional to 1,921.44, 2,882.40 and 623.36

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Solution

The fourth proportional to 1,921.44, 2,882.40 and 623.36 is: 935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.44 : 2,882.40 = 623.36 : x
  2. Step 2: Convert to fraction form
    1,921.44/2,882.40 = 623.36/x
  3. Step 3: Cross multiply
    1,921.44x = 2,882.40 × 623.36
  4. Step 4: Simplify right side
    1,921.44x = 1,796,772.86
  5. Step 5: Solve for x
    x = 1,796,772.86/1,921.44
  6. Step 6: Final answer
    x = 935.12

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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.