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Finding the Fourth Proportional to 2,652.26, 3,979.06 and 803.40

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Solution

The fourth proportional to 2,652.26, 3,979.06 and 803.40 is: 1,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.26 : 3,979.06 = 803.40 : x
  2. Step 2: Convert to fraction form
    2,652.26/3,979.06 = 803.40/x
  3. Step 3: Cross multiply
    2,652.26x = 3,979.06 × 803.40
  4. Step 4: Simplify right side
    2,652.26x = 3,196,776.80
  5. Step 5: Solve for x
    x = 3,196,776.80/2,652.26
  6. Step 6: Final answer
    x = 1,205.30

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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.