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Finding the Fourth Proportional to 1,977,407.49, 2,728,843.85 and 1,161,645.56

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Solution

The fourth proportional to 1,977,407.49, 2,728,843.85 and 1,161,645.56 is: 1,603,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,407.49 : 2,728,843.85 = 1,161,645.56 : x
  2. Step 2: Convert to fraction form
    1,977,407.49/2,728,843.85 = 1,161,645.56/x
  3. Step 3: Cross multiply
    1,977,407.49x = 2,728,843.85 × 1,161,645.56
  4. Step 4: Simplify right side
    1,977,407.49x = 3,169,949,341,778.87
  5. Step 5: Solve for x
    x = 3,169,949,341,778.87/1,977,407.49
  6. Step 6: Final answer
    x = 1,603,083.51

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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.