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Finding the Fourth Proportional to 2,059.20, 2,843.64 and 1,864.80

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Solution

The fourth proportional to 2,059.20, 2,843.64 and 1,864.80 is: 2,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.20 : 2,843.64 = 1,864.80 : x
  2. Step 2: Convert to fraction form
    2,059.20/2,843.64 = 1,864.80/x
  3. Step 3: Cross multiply
    2,059.20x = 2,843.64 × 1,864.80
  4. Step 4: Simplify right side
    2,059.20x = 5,302,819.87
  5. Step 5: Solve for x
    x = 5,302,819.87/2,059.20
  6. Step 6: Final answer
    x = 2,575.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.