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Finding the Fourth Proportional to 1,830.10, 2,745.49 and 734.55

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Solution

The fourth proportional to 1,830.10, 2,745.49 and 734.55 is: 1,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.10 : 2,745.49 = 734.55 : x
  2. Step 2: Convert to fraction form
    1,830.10/2,745.49 = 734.55/x
  3. Step 3: Cross multiply
    1,830.10x = 2,745.49 × 734.55
  4. Step 4: Simplify right side
    1,830.10x = 2,016,684.12
  5. Step 5: Solve for x
    x = 2,016,684.12/1,830.10
  6. Step 6: Final answer
    x = 1,101.96

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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.