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Finding the Fourth Proportional to 1,932.70, 2,892.64 and 1,759.77

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Solution

The fourth proportional to 1,932.70, 2,892.64 and 1,759.77 is: 2,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.70 : 2,892.64 = 1,759.77 : x
  2. Step 2: Convert to fraction form
    1,932.70/2,892.64 = 1,759.77/x
  3. Step 3: Cross multiply
    1,932.70x = 2,892.64 × 1,759.77
  4. Step 4: Simplify right side
    1,932.70x = 5,090,366.91
  5. Step 5: Solve for x
    x = 5,090,366.91/1,932.70
  6. Step 6: Final answer
    x = 2,633.81

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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.