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Finding the Fourth Proportional to 2,294.59, 3,440.83 and 734.25

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Solution

The fourth proportional to 2,294.59, 3,440.83 and 734.25 is: 1,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.59 : 3,440.83 = 734.25 : x
  2. Step 2: Convert to fraction form
    2,294.59/3,440.83 = 734.25/x
  3. Step 3: Cross multiply
    2,294.59x = 3,440.83 × 734.25
  4. Step 4: Simplify right side
    2,294.59x = 2,526,429.43
  5. Step 5: Solve for x
    x = 2,526,429.43/2,294.59
  6. Step 6: Final answer
    x = 1,101.04

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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.