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Finding the Fourth Proportional to 1,830.29, 2,745.74 and 905.88

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Solution

The fourth proportional to 1,830.29, 2,745.74 and 905.88 is: 1,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.29 : 2,745.74 = 905.88 : x
  2. Step 2: Convert to fraction form
    1,830.29/2,745.74 = 905.88/x
  3. Step 3: Cross multiply
    1,830.29x = 2,745.74 × 905.88
  4. Step 4: Simplify right side
    1,830.29x = 2,487,310.95
  5. Step 5: Solve for x
    x = 2,487,310.95/1,830.29
  6. Step 6: Final answer
    x = 1,358.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.