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Finding the Fourth Proportional to 2,992.17, 4,488.39 and 800.90

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Solution

The fourth proportional to 2,992.17, 4,488.39 and 800.90 is: 1,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.17 : 4,488.39 = 800.90 : x
  2. Step 2: Convert to fraction form
    2,992.17/4,488.39 = 800.90/x
  3. Step 3: Cross multiply
    2,992.17x = 4,488.39 × 800.90
  4. Step 4: Simplify right side
    2,992.17x = 3,594,766.74
  5. Step 5: Solve for x
    x = 3,594,766.74/2,992.17
  6. Step 6: Final answer
    x = 1,201.39

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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.