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Finding the Fourth Proportional to 2,845.14, 4,268.11 and 896.88

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Solution

The fourth proportional to 2,845.14, 4,268.11 and 896.88 is: 1,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.14 : 4,268.11 = 896.88 : x
  2. Step 2: Convert to fraction form
    2,845.14/4,268.11 = 896.88/x
  3. Step 3: Cross multiply
    2,845.14x = 4,268.11 × 896.88
  4. Step 4: Simplify right side
    2,845.14x = 3,827,982.50
  5. Step 5: Solve for x
    x = 3,827,982.50/2,845.14
  6. Step 6: Final answer
    x = 1,345.45

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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.