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Finding the Fourth Proportional to 1,813.74, 2,716.29 and 1,524.30

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Solution

The fourth proportional to 1,813.74, 2,716.29 and 1,524.30 is: 2,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.74 : 2,716.29 = 1,524.30 : x
  2. Step 2: Convert to fraction form
    1,813.74/2,716.29 = 1,524.30/x
  3. Step 3: Cross multiply
    1,813.74x = 2,716.29 × 1,524.30
  4. Step 4: Simplify right side
    1,813.74x = 4,140,440.85
  5. Step 5: Solve for x
    x = 4,140,440.85/1,813.74
  6. Step 6: Final answer
    x = 2,282.82

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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.