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Finding the Fourth Proportional to 2,891.09, 4,336.64 and 811.32

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Solution

The fourth proportional to 2,891.09, 4,336.64 and 811.32 is: 1,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.09 : 4,336.64 = 811.32 : x
  2. Step 2: Convert to fraction form
    2,891.09/4,336.64 = 811.32/x
  3. Step 3: Cross multiply
    2,891.09x = 4,336.64 × 811.32
  4. Step 4: Simplify right side
    2,891.09x = 3,518,385.49
  5. Step 5: Solve for x
    x = 3,518,385.49/2,891.09
  6. Step 6: Final answer
    x = 1,216.97

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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.