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Finding the Fourth Proportional to 1,842.35, 2,763.97 and 609.77

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Solution

The fourth proportional to 1,842.35, 2,763.97 and 609.77 is: 914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.35 : 2,763.97 = 609.77 : x
  2. Step 2: Convert to fraction form
    1,842.35/2,763.97 = 609.77/x
  3. Step 3: Cross multiply
    1,842.35x = 2,763.97 × 609.77
  4. Step 4: Simplify right side
    1,842.35x = 1,685,391.37
  5. Step 5: Solve for x
    x = 1,685,391.37/1,842.35
  6. Step 6: Final answer
    x = 914.81

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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.