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Finding the Fourth Proportional to 1,824,384.94, 2,735,418.24 and 1,600,195.54

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Solution

The fourth proportional to 1,824,384.94, 2,735,418.24 and 1,600,195.54 is: 2,399,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,384.94 : 2,735,418.24 = 1,600,195.54 : x
  2. Step 2: Convert to fraction form
    1,824,384.94/2,735,418.24 = 1,600,195.54/x
  3. Step 3: Cross multiply
    1,824,384.94x = 2,735,418.24 × 1,600,195.54
  4. Step 4: Simplify right side
    1,824,384.94x = 4,377,204,067,682.65
  5. Step 5: Solve for x
    x = 4,377,204,067,682.65/1,824,384.94
  6. Step 6: Final answer
    x = 2,399,276.58

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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.