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Finding the Fourth Proportional to 1,519.89, 2,280.44 and 654.81

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Solution

The fourth proportional to 1,519.89, 2,280.44 and 654.81 is: 982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.89 : 2,280.44 = 654.81 : x
  2. Step 2: Convert to fraction form
    1,519.89/2,280.44 = 654.81/x
  3. Step 3: Cross multiply
    1,519.89x = 2,280.44 × 654.81
  4. Step 4: Simplify right side
    1,519.89x = 1,493,254.92
  5. Step 5: Solve for x
    x = 1,493,254.92/1,519.89
  6. Step 6: Final answer
    x = 982.48

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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.