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Finding the Fourth Proportional to 2,546.09, 3,816.70 and 813.59

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Solution

The fourth proportional to 2,546.09, 3,816.70 and 813.59 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.09 : 3,816.70 = 813.59 : x
  2. Step 2: Convert to fraction form
    2,546.09/3,816.70 = 813.59/x
  3. Step 3: Cross multiply
    2,546.09x = 3,816.70 × 813.59
  4. Step 4: Simplify right side
    2,546.09x = 3,105,228.95
  5. Step 5: Solve for x
    x = 3,105,228.95/2,546.09
  6. Step 6: Final answer
    x = 1,219.61

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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.