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Finding the Fourth Proportional to 2,784,791.02, 3,843,813.13 and 1,682,047.20

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Solution

The fourth proportional to 2,784,791.02, 3,843,813.13 and 1,682,047.20 is: 2,321,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,791.02 : 3,843,813.13 = 1,682,047.20 : x
  2. Step 2: Convert to fraction form
    2,784,791.02/3,843,813.13 = 1,682,047.20/x
  3. Step 3: Cross multiply
    2,784,791.02x = 3,843,813.13 × 1,682,047.20
  4. Step 4: Simplify right side
    2,784,791.02x = 6,465,475,112,639.74
  5. Step 5: Solve for x
    x = 6,465,475,112,639.74/2,784,791.02
  6. Step 6: Final answer
    x = 2,321,709.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.