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Finding the Fourth Proportional to 2,939.94, 4,410.24 and 992.30

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Solution

The fourth proportional to 2,939.94, 4,410.24 and 992.30 is: 1,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.94 : 4,410.24 = 992.30 : x
  2. Step 2: Convert to fraction form
    2,939.94/4,410.24 = 992.30/x
  3. Step 3: Cross multiply
    2,939.94x = 4,410.24 × 992.30
  4. Step 4: Simplify right side
    2,939.94x = 4,376,281.15
  5. Step 5: Solve for x
    x = 4,376,281.15/2,939.94
  6. Step 6: Final answer
    x = 1,488.56

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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.