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Finding the Fourth Proportional to 2,891.14, 4,335.96 and 811.02

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Solution

The fourth proportional to 2,891.14, 4,335.96 and 811.02 is: 1,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.14 : 4,335.96 = 811.02 : x
  2. Step 2: Convert to fraction form
    2,891.14/4,335.96 = 811.02/x
  3. Step 3: Cross multiply
    2,891.14x = 4,335.96 × 811.02
  4. Step 4: Simplify right side
    2,891.14x = 3,516,550.28
  5. Step 5: Solve for x
    x = 3,516,550.28/2,891.14
  6. Step 6: Final answer
    x = 1,216.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.