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Finding the Fourth Proportional to 3,226.76, 4,452.98 and 1,810.37

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Solution

The fourth proportional to 3,226.76, 4,452.98 and 1,810.37 is: 2,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.76 : 4,452.98 = 1,810.37 : x
  2. Step 2: Convert to fraction form
    3,226.76/4,452.98 = 1,810.37/x
  3. Step 3: Cross multiply
    3,226.76x = 4,452.98 × 1,810.37
  4. Step 4: Simplify right side
    3,226.76x = 8,061,519.14
  5. Step 5: Solve for x
    x = 8,061,519.14/3,226.76
  6. Step 6: Final answer
    x = 2,498.34

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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.