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Finding the Fourth Proportional to 2,845.96, 4,268.86 and 1,549.96

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Solution

The fourth proportional to 2,845.96, 4,268.86 and 1,549.96 is: 2,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.96 : 4,268.86 = 1,549.96 : x
  2. Step 2: Convert to fraction form
    2,845.96/4,268.86 = 1,549.96/x
  3. Step 3: Cross multiply
    2,845.96x = 4,268.86 × 1,549.96
  4. Step 4: Simplify right side
    2,845.96x = 6,616,562.25
  5. Step 5: Solve for x
    x = 6,616,562.25/2,845.96
  6. Step 6: Final answer
    x = 2,324.90

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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.