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Finding the Fourth Proportional to 2,189.13, 3,020.99 and 1,403.18

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Solution

The fourth proportional to 2,189.13, 3,020.99 and 1,403.18 is: 1,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.13 : 3,020.99 = 1,403.18 : x
  2. Step 2: Convert to fraction form
    2,189.13/3,020.99 = 1,403.18/x
  3. Step 3: Cross multiply
    2,189.13x = 3,020.99 × 1,403.18
  4. Step 4: Simplify right side
    2,189.13x = 4,238,992.75
  5. Step 5: Solve for x
    x = 4,238,992.75/2,189.13
  6. Step 6: Final answer
    x = 1,936.38

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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.