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Finding the Fourth Proportional to 2,784.11, 4,176.16 and 1,052.73

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Solution

The fourth proportional to 2,784.11, 4,176.16 and 1,052.73 is: 1,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.11 : 4,176.16 = 1,052.73 : x
  2. Step 2: Convert to fraction form
    2,784.11/4,176.16 = 1,052.73/x
  3. Step 3: Cross multiply
    2,784.11x = 4,176.16 × 1,052.73
  4. Step 4: Simplify right side
    2,784.11x = 4,396,368.92
  5. Step 5: Solve for x
    x = 4,396,368.92/2,784.11
  6. Step 6: Final answer
    x = 1,579.09

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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.