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Finding the Fourth Proportional to 2,269.22, 3,403.95 and 730.26

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Solution

The fourth proportional to 2,269.22, 3,403.95 and 730.26 is: 1,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.22 : 3,403.95 = 730.26 : x
  2. Step 2: Convert to fraction form
    2,269.22/3,403.95 = 730.26/x
  3. Step 3: Cross multiply
    2,269.22x = 3,403.95 × 730.26
  4. Step 4: Simplify right side
    2,269.22x = 2,485,768.53
  5. Step 5: Solve for x
    x = 2,485,768.53/2,269.22
  6. Step 6: Final answer
    x = 1,095.43

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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.