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Finding the Fourth Proportional to 1,817.96, 2,511.13 and 1,403.43

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Solution

The fourth proportional to 1,817.96, 2,511.13 and 1,403.43 is: 1,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.96 : 2,511.13 = 1,403.43 : x
  2. Step 2: Convert to fraction form
    1,817.96/2,511.13 = 1,403.43/x
  3. Step 3: Cross multiply
    1,817.96x = 2,511.13 × 1,403.43
  4. Step 4: Simplify right side
    1,817.96x = 3,524,195.18
  5. Step 5: Solve for x
    x = 3,524,195.18/1,817.96
  6. Step 6: Final answer
    x = 1,938.54

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Why These Related Problems?

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