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Finding the Fourth Proportional to 2,783.99, 4,176.81 and 1,052.75

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Solution

The fourth proportional to 2,783.99, 4,176.81 and 1,052.75 is: 1,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.99 : 4,176.81 = 1,052.75 : x
  2. Step 2: Convert to fraction form
    2,783.99/4,176.81 = 1,052.75/x
  3. Step 3: Cross multiply
    2,783.99x = 4,176.81 × 1,052.75
  4. Step 4: Simplify right side
    2,783.99x = 4,397,136.73
  5. Step 5: Solve for x
    x = 4,397,136.73/2,783.99
  6. Step 6: Final answer
    x = 1,579.44

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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.