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Finding the Fourth Proportional to 2,269.32, 3,404.82 and 1,173

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Solution

The fourth proportional to 2,269.32, 3,404.82 and 1,173 is: 1,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.32 : 3,404.82 = 1,173 : x
  2. Step 2: Convert to fraction form
    2,269.32/3,404.82 = 1,173/x
  3. Step 3: Cross multiply
    2,269.32x = 3,404.82 × 1,173
  4. Step 4: Simplify right side
    2,269.32x = 3,993,853.86
  5. Step 5: Solve for x
    x = 3,993,853.86/2,269.32
  6. Step 6: Final answer
    x = 1,759.93

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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.