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Finding the Fourth Proportional to 1,942,887.82, 2,914,575.87 and 1,043,092.78

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Solution

The fourth proportional to 1,942,887.82, 2,914,575.87 and 1,043,092.78 is: 1,564,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,887.82 : 2,914,575.87 = 1,043,092.78 : x
  2. Step 2: Convert to fraction form
    1,942,887.82/2,914,575.87 = 1,043,092.78/x
  3. Step 3: Cross multiply
    1,942,887.82x = 2,914,575.87 × 1,043,092.78
  4. Step 4: Simplify right side
    1,942,887.82x = 3,040,173,046,759.22
  5. Step 5: Solve for x
    x = 3,040,173,046,759.22/1,942,887.82
  6. Step 6: Final answer
    x = 1,564,770.24

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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.