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Finding the Fourth Proportional to 2,652.46, 3,979.28 and 803.59

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Solution

The fourth proportional to 2,652.46, 3,979.28 and 803.59 is: 1,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.46 : 3,979.28 = 803.59 : x
  2. Step 2: Convert to fraction form
    2,652.46/3,979.28 = 803.59/x
  3. Step 3: Cross multiply
    2,652.46x = 3,979.28 × 803.59
  4. Step 4: Simplify right side
    2,652.46x = 3,197,701.68
  5. Step 5: Solve for x
    x = 3,197,701.68/2,652.46
  6. Step 6: Final answer
    x = 1,205.56

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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.