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Finding the Fourth Proportional to 1,847.75, 2,773.82 and 1,458.03

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Solution

The fourth proportional to 1,847.75, 2,773.82 and 1,458.03 is: 2,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.75 : 2,773.82 = 1,458.03 : x
  2. Step 2: Convert to fraction form
    1,847.75/2,773.82 = 1,458.03/x
  3. Step 3: Cross multiply
    1,847.75x = 2,773.82 × 1,458.03
  4. Step 4: Simplify right side
    1,847.75x = 4,044,318.06
  5. Step 5: Solve for x
    x = 4,044,318.06/1,847.75
  6. Step 6: Final answer
    x = 2,188.78

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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.