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Finding the Fourth Proportional to 2,062.92, 3,092.41 and 764.08

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Solution

The fourth proportional to 2,062.92, 3,092.41 and 764.08 is: 1,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.92 : 3,092.41 = 764.08 : x
  2. Step 2: Convert to fraction form
    2,062.92/3,092.41 = 764.08/x
  3. Step 3: Cross multiply
    2,062.92x = 3,092.41 × 764.08
  4. Step 4: Simplify right side
    2,062.92x = 2,362,848.63
  5. Step 5: Solve for x
    x = 2,362,848.63/2,062.92
  6. Step 6: Final answer
    x = 1,145.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.