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Finding the Fourth Proportional to 1,939.99, 2,676.31 and 1,153.58

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Solution

The fourth proportional to 1,939.99, 2,676.31 and 1,153.58 is: 1,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.99 : 2,676.31 = 1,153.58 : x
  2. Step 2: Convert to fraction form
    1,939.99/2,676.31 = 1,153.58/x
  3. Step 3: Cross multiply
    1,939.99x = 2,676.31 × 1,153.58
  4. Step 4: Simplify right side
    1,939.99x = 3,087,337.69
  5. Step 5: Solve for x
    x = 3,087,337.69/1,939.99
  6. Step 6: Final answer
    x = 1,591.42

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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.