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Finding the Fourth Proportional to 1,954.69, 2,932.50 and 800.44

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Solution

The fourth proportional to 1,954.69, 2,932.50 and 800.44 is: 1,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.69 : 2,932.50 = 800.44 : x
  2. Step 2: Convert to fraction form
    1,954.69/2,932.50 = 800.44/x
  3. Step 3: Cross multiply
    1,954.69x = 2,932.50 × 800.44
  4. Step 4: Simplify right side
    1,954.69x = 2,347,285.97
  5. Step 5: Solve for x
    x = 2,347,285.97/1,954.69
  6. Step 6: Final answer
    x = 1,200.85

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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.