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Finding the Fourth Proportional to 2,191.92, 3,024.89 and 1,308.24

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Solution

The fourth proportional to 2,191.92, 3,024.89 and 1,308.24 is: 1,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.92 : 3,024.89 = 1,308.24 : x
  2. Step 2: Convert to fraction form
    2,191.92/3,024.89 = 1,308.24/x
  3. Step 3: Cross multiply
    2,191.92x = 3,024.89 × 1,308.24
  4. Step 4: Simplify right side
    2,191.92x = 3,957,282.09
  5. Step 5: Solve for x
    x = 3,957,282.09/2,191.92
  6. Step 6: Final answer
    x = 1,805.40

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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.