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Finding the Fourth Proportional to 2,284.09, 3,425.85 and 803.05

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Solution

The fourth proportional to 2,284.09, 3,425.85 and 803.05 is: 1,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.09 : 3,425.85 = 803.05 : x
  2. Step 2: Convert to fraction form
    2,284.09/3,425.85 = 803.05/x
  3. Step 3: Cross multiply
    2,284.09x = 3,425.85 × 803.05
  4. Step 4: Simplify right side
    2,284.09x = 2,751,128.84
  5. Step 5: Solve for x
    x = 2,751,128.84/2,284.09
  6. Step 6: Final answer
    x = 1,204.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.