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Finding the Fourth Proportional to 2,992.96, 4,488.52 and 801.40

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Solution

The fourth proportional to 2,992.96, 4,488.52 and 801.40 is: 1,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.96 : 4,488.52 = 801.40 : x
  2. Step 2: Convert to fraction form
    2,992.96/4,488.52 = 801.40/x
  3. Step 3: Cross multiply
    2,992.96x = 4,488.52 × 801.40
  4. Step 4: Simplify right side
    2,992.96x = 3,597,099.93
  5. Step 5: Solve for x
    x = 3,597,099.93/2,992.96
  6. Step 6: Final answer
    x = 1,201.85

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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.