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Finding the Fourth Proportional to 1,842.57, 2,763.79 and 455.90

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Solution

The fourth proportional to 1,842.57, 2,763.79 and 455.90 is: 683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.57 : 2,763.79 = 455.90 : x
  2. Step 2: Convert to fraction form
    1,842.57/2,763.79 = 455.90/x
  3. Step 3: Cross multiply
    1,842.57x = 2,763.79 × 455.90
  4. Step 4: Simplify right side
    1,842.57x = 1,259,996.90
  5. Step 5: Solve for x
    x = 1,259,996.90/1,842.57
  6. Step 6: Final answer
    x = 683.83

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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.