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Finding the Fourth Proportional to 1,977.88, 2,729.42 and 1,093.78

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Solution

The fourth proportional to 1,977.88, 2,729.42 and 1,093.78 is: 1,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.88 : 2,729.42 = 1,093.78 : x
  2. Step 2: Convert to fraction form
    1,977.88/2,729.42 = 1,093.78/x
  3. Step 3: Cross multiply
    1,977.88x = 2,729.42 × 1,093.78
  4. Step 4: Simplify right side
    1,977.88x = 2,985,385.01
  5. Step 5: Solve for x
    x = 2,985,385.01/1,977.88
  6. Step 6: Final answer
    x = 1,509.39

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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.