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Finding the Fourth Proportional to 2,992.52, 4,488.78 and 801.26

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Solution

The fourth proportional to 2,992.52, 4,488.78 and 801.26 is: 1,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.52 : 4,488.78 = 801.26 : x
  2. Step 2: Convert to fraction form
    2,992.52/4,488.78 = 801.26/x
  3. Step 3: Cross multiply
    2,992.52x = 4,488.78 × 801.26
  4. Step 4: Simplify right side
    2,992.52x = 3,596,679.86
  5. Step 5: Solve for x
    x = 3,596,679.86/2,992.52
  6. Step 6: Final answer
    x = 1,201.89

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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.