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Finding the Fourth Proportional to 2,272.69, 3,409.07 and 811.93

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Solution

The fourth proportional to 2,272.69, 3,409.07 and 811.93 is: 1,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.69 : 3,409.07 = 811.93 : x
  2. Step 2: Convert to fraction form
    2,272.69/3,409.07 = 811.93/x
  3. Step 3: Cross multiply
    2,272.69x = 3,409.07 × 811.93
  4. Step 4: Simplify right side
    2,272.69x = 2,767,926.21
  5. Step 5: Solve for x
    x = 2,767,926.21/2,272.69
  6. Step 6: Final answer
    x = 1,217.91

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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.