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Finding the Fourth Proportional to 2,284.32, 3,426.17 and 803.26

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Solution

The fourth proportional to 2,284.32, 3,426.17 and 803.26 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.32 : 3,426.17 = 803.26 : x
  2. Step 2: Convert to fraction form
    2,284.32/3,426.17 = 803.26/x
  3. Step 3: Cross multiply
    2,284.32x = 3,426.17 × 803.26
  4. Step 4: Simplify right side
    2,284.32x = 2,752,102.72
  5. Step 5: Solve for x
    x = 2,752,102.72/2,284.32
  6. Step 6: Final answer
    x = 1,204.78

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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.