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Finding the Fourth Proportional to 2,559.58, 3,530.46 and 2,227.48

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Solution

The fourth proportional to 2,559.58, 3,530.46 and 2,227.48 is: 3,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.58 : 3,530.46 = 2,227.48 : x
  2. Step 2: Convert to fraction form
    2,559.58/3,530.46 = 2,227.48/x
  3. Step 3: Cross multiply
    2,559.58x = 3,530.46 × 2,227.48
  4. Step 4: Simplify right side
    2,559.58x = 7,864,029.04
  5. Step 5: Solve for x
    x = 7,864,029.04/2,559.58
  6. Step 6: Final answer
    x = 3,072.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.