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Finding the Fourth Proportional to 2,269.25, 3,404.42 and 730.25

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Solution

The fourth proportional to 2,269.25, 3,404.42 and 730.25 is: 1,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.25 : 3,404.42 = 730.25 : x
  2. Step 2: Convert to fraction form
    2,269.25/3,404.42 = 730.25/x
  3. Step 3: Cross multiply
    2,269.25x = 3,404.42 × 730.25
  4. Step 4: Simplify right side
    2,269.25x = 2,486,074.05
  5. Step 5: Solve for x
    x = 2,486,074.05/2,269.25
  6. Step 6: Final answer
    x = 1,095.55

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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.