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Finding the Fourth Proportional to 1,843.20, 2,765.70 and 1,404.30

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Solution

The fourth proportional to 1,843.20, 2,765.70 and 1,404.30 is: 2,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.20 : 2,765.70 = 1,404.30 : x
  2. Step 2: Convert to fraction form
    1,843.20/2,765.70 = 1,404.30/x
  3. Step 3: Cross multiply
    1,843.20x = 2,765.70 × 1,404.30
  4. Step 4: Simplify right side
    1,843.20x = 3,883,872.51
  5. Step 5: Solve for x
    x = 3,883,872.51/1,843.20
  6. Step 6: Final answer
    x = 2,107.14

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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.