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Finding the Fourth Proportional to 1,830.38, 2,745.99 and 676.13

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Solution

The fourth proportional to 1,830.38, 2,745.99 and 676.13 is: 1,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.38 : 2,745.99 = 676.13 : x
  2. Step 2: Convert to fraction form
    1,830.38/2,745.99 = 676.13/x
  3. Step 3: Cross multiply
    1,830.38x = 2,745.99 × 676.13
  4. Step 4: Simplify right side
    1,830.38x = 1,856,632.49
  5. Step 5: Solve for x
    x = 1,856,632.49/1,830.38
  6. Step 6: Final answer
    x = 1,014.35

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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.