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Finding the Fourth Proportional to 2,992.44, 4,488.15 and 801.30

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Solution

The fourth proportional to 2,992.44, 4,488.15 and 801.30 is: 1,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.44 : 4,488.15 = 801.30 : x
  2. Step 2: Convert to fraction form
    2,992.44/4,488.15 = 801.30/x
  3. Step 3: Cross multiply
    2,992.44x = 4,488.15 × 801.30
  4. Step 4: Simplify right side
    2,992.44x = 3,596,354.60
  5. Step 5: Solve for x
    x = 3,596,354.60/2,992.44
  6. Step 6: Final answer
    x = 1,201.81

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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.