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Finding the Fourth Proportional to 2,561.41, 3,530.49 and 1,814.41

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Solution

The fourth proportional to 2,561.41, 3,530.49 and 1,814.41 is: 2,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.41 : 3,530.49 = 1,814.41 : x
  2. Step 2: Convert to fraction form
    2,561.41/3,530.49 = 1,814.41/x
  3. Step 3: Cross multiply
    2,561.41x = 3,530.49 × 1,814.41
  4. Step 4: Simplify right side
    2,561.41x = 6,405,756.36
  5. Step 5: Solve for x
    x = 6,405,756.36/2,561.41
  6. Step 6: Final answer
    x = 2,500.87

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