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Finding the Fourth Proportional to 1,842.48, 2,764.21 and 543.95

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Solution

The fourth proportional to 1,842.48, 2,764.21 and 543.95 is: 816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.48 : 2,764.21 = 543.95 : x
  2. Step 2: Convert to fraction form
    1,842.48/2,764.21 = 543.95/x
  3. Step 3: Cross multiply
    1,842.48x = 2,764.21 × 543.95
  4. Step 4: Simplify right side
    1,842.48x = 1,503,592.03
  5. Step 5: Solve for x
    x = 1,503,592.03/1,842.48
  6. Step 6: Final answer
    x = 816.07

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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.