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Finding the Fourth Proportional to 1,830.30, 2,744.82 and 734.34

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Solution

The fourth proportional to 1,830.30, 2,744.82 and 734.34 is: 1,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.30 : 2,744.82 = 734.34 : x
  2. Step 2: Convert to fraction form
    1,830.30/2,744.82 = 734.34/x
  3. Step 3: Cross multiply
    1,830.30x = 2,744.82 × 734.34
  4. Step 4: Simplify right side
    1,830.30x = 2,015,631.12
  5. Step 5: Solve for x
    x = 2,015,631.12/1,830.30
  6. Step 6: Final answer
    x = 1,101.26

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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.