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Finding the Fourth Proportional to 1,813.26, 2,713.89 and 1,559.82

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Solution

The fourth proportional to 1,813.26, 2,713.89 and 1,559.82 is: 2,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.26 : 2,713.89 = 1,559.82 : x
  2. Step 2: Convert to fraction form
    1,813.26/2,713.89 = 1,559.82/x
  3. Step 3: Cross multiply
    1,813.26x = 2,713.89 × 1,559.82
  4. Step 4: Simplify right side
    1,813.26x = 4,233,179.90
  5. Step 5: Solve for x
    x = 4,233,179.90/1,813.26
  6. Step 6: Final answer
    x = 2,334.57

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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.