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Finding the Fourth Proportional to 1,543.73, 2,310.93 and 996.30

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Solution

The fourth proportional to 1,543.73, 2,310.93 and 996.30 is: 1,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.73 : 2,310.93 = 996.30 : x
  2. Step 2: Convert to fraction form
    1,543.73/2,310.93 = 996.30/x
  3. Step 3: Cross multiply
    1,543.73x = 2,310.93 × 996.30
  4. Step 4: Simplify right side
    1,543.73x = 2,302,379.56
  5. Step 5: Solve for x
    x = 2,302,379.56/1,543.73
  6. Step 6: Final answer
    x = 1,491.44

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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.