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Finding the Fourth Proportional to 1,830.89, 2,745.72 and 734.96

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Solution

The fourth proportional to 1,830.89, 2,745.72 and 734.96 is: 1,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.89 : 2,745.72 = 734.96 : x
  2. Step 2: Convert to fraction form
    1,830.89/2,745.72 = 734.96/x
  3. Step 3: Cross multiply
    1,830.89x = 2,745.72 × 734.96
  4. Step 4: Simplify right side
    1,830.89x = 2,017,980.64
  5. Step 5: Solve for x
    x = 2,017,980.64/1,830.89
  6. Step 6: Final answer
    x = 1,102.19

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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.