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Finding the Fourth Proportional to 2,062, 2,845.92 and 1,234

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Solution

The fourth proportional to 2,062, 2,845.92 and 1,234 is: 1,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062 : 2,845.92 = 1,234 : x
  2. Step 2: Convert to fraction form
    2,062/2,845.92 = 1,234/x
  3. Step 3: Cross multiply
    2,062x = 2,845.92 × 1,234
  4. Step 4: Simplify right side
    2,062x = 3,511,865.28
  5. Step 5: Solve for x
    x = 3,511,865.28/2,062
  6. Step 6: Final answer
    x = 1,703.14

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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.