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Finding the Fourth Proportional to 2,485.68, 3,727.60 and 819.38

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Solution

The fourth proportional to 2,485.68, 3,727.60 and 819.38 is: 1,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.68 : 3,727.60 = 819.38 : x
  2. Step 2: Convert to fraction form
    2,485.68/3,727.60 = 819.38/x
  3. Step 3: Cross multiply
    2,485.68x = 3,727.60 × 819.38
  4. Step 4: Simplify right side
    2,485.68x = 3,054,320.89
  5. Step 5: Solve for x
    x = 3,054,320.89/2,485.68
  6. Step 6: Final answer
    x = 1,228.77

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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.