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Finding the Fourth Proportional to 1,991,731.97, 2,981,784.92 and 1,481,659.58

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Solution

The fourth proportional to 1,991,731.97, 2,981,784.92 and 1,481,659.58 is: 2,218,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,731.97 : 2,981,784.92 = 1,481,659.58 : x
  2. Step 2: Convert to fraction form
    1,991,731.97/2,981,784.92 = 1,481,659.58/x
  3. Step 3: Cross multiply
    1,991,731.97x = 2,981,784.92 × 1,481,659.58
  4. Step 4: Simplify right side
    1,991,731.97x = 4,417,990,169,900.31
  5. Step 5: Solve for x
    x = 4,417,990,169,900.31/1,991,731.97
  6. Step 6: Final answer
    x = 2,218,165.02

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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.