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Finding the Fourth Proportional to 2,884.60, 4,326.81 and 1,035.82

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Solution

The fourth proportional to 2,884.60, 4,326.81 and 1,035.82 is: 1,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.60 : 4,326.81 = 1,035.82 : x
  2. Step 2: Convert to fraction form
    2,884.60/4,326.81 = 1,035.82/x
  3. Step 3: Cross multiply
    2,884.60x = 4,326.81 × 1,035.82
  4. Step 4: Simplify right side
    2,884.60x = 4,481,796.33
  5. Step 5: Solve for x
    x = 4,481,796.33/2,884.60
  6. Step 6: Final answer
    x = 1,553.70

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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.