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Finding the Fourth Proportional to 1,847.80, 2,774.40 and 1,120.42

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Solution

The fourth proportional to 1,847.80, 2,774.40 and 1,120.42 is: 1,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.80 : 2,774.40 = 1,120.42 : x
  2. Step 2: Convert to fraction form
    1,847.80/2,774.40 = 1,120.42/x
  3. Step 3: Cross multiply
    1,847.80x = 2,774.40 × 1,120.42
  4. Step 4: Simplify right side
    1,847.80x = 3,108,493.25
  5. Step 5: Solve for x
    x = 3,108,493.25/1,847.80
  6. Step 6: Final answer
    x = 1,682.27

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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.