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Finding the Fourth Proportional to 2,092.64, 3,140.32 and 794.08

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Solution

The fourth proportional to 2,092.64, 3,140.32 and 794.08 is: 1,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.64 : 3,140.32 = 794.08 : x
  2. Step 2: Convert to fraction form
    2,092.64/3,140.32 = 794.08/x
  3. Step 3: Cross multiply
    2,092.64x = 3,140.32 × 794.08
  4. Step 4: Simplify right side
    2,092.64x = 2,493,665.31
  5. Step 5: Solve for x
    x = 2,493,665.31/2,092.64
  6. Step 6: Final answer
    x = 1,191.64

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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.