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Finding the Fourth Proportional to 2,269.19, 3,404.33 and 1,230.23

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Solution

The fourth proportional to 2,269.19, 3,404.33 and 1,230.23 is: 1,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.19 : 3,404.33 = 1,230.23 : x
  2. Step 2: Convert to fraction form
    2,269.19/3,404.33 = 1,230.23/x
  3. Step 3: Cross multiply
    2,269.19x = 3,404.33 × 1,230.23
  4. Step 4: Simplify right side
    2,269.19x = 4,188,102.74
  5. Step 5: Solve for x
    x = 4,188,102.74/2,269.19
  6. Step 6: Final answer
    x = 1,845.64

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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.