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Finding the Fourth Proportional to 1,977.67, 2,729.15 and 1,093.47

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Solution

The fourth proportional to 1,977.67, 2,729.15 and 1,093.47 is: 1,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.67 : 2,729.15 = 1,093.47 : x
  2. Step 2: Convert to fraction form
    1,977.67/2,729.15 = 1,093.47/x
  3. Step 3: Cross multiply
    1,977.67x = 2,729.15 × 1,093.47
  4. Step 4: Simplify right side
    1,977.67x = 2,984,243.65
  5. Step 5: Solve for x
    x = 2,984,243.65/1,977.67
  6. Step 6: Final answer
    x = 1,508.97

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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.