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Finding the Fourth Proportional to 2,192.34, 3,024.96 and 1,308.42

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Solution

The fourth proportional to 2,192.34, 3,024.96 and 1,308.42 is: 1,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.34 : 3,024.96 = 1,308.42 : x
  2. Step 2: Convert to fraction form
    2,192.34/3,024.96 = 1,308.42/x
  3. Step 3: Cross multiply
    2,192.34x = 3,024.96 × 1,308.42
  4. Step 4: Simplify right side
    2,192.34x = 3,957,918.16
  5. Step 5: Solve for x
    x = 3,957,918.16/2,192.34
  6. Step 6: Final answer
    x = 1,805.34

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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.