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Finding the Fourth Proportional to 1,847.18, 2,770.80 and 531.05

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Solution

The fourth proportional to 1,847.18, 2,770.80 and 531.05 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.18 : 2,770.80 = 531.05 : x
  2. Step 2: Convert to fraction form
    1,847.18/2,770.80 = 531.05/x
  3. Step 3: Cross multiply
    1,847.18x = 2,770.80 × 531.05
  4. Step 4: Simplify right side
    1,847.18x = 1,471,419.49
  5. Step 5: Solve for x
    x = 1,471,419.49/1,847.18
  6. Step 6: Final answer
    x = 796.58

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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.