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Finding the Fourth Proportional to 2,876.54, 4,313.73 and 2,267.42

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Solution

The fourth proportional to 2,876.54, 4,313.73 and 2,267.42 is: 3,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.54 : 4,313.73 = 2,267.42 : x
  2. Step 2: Convert to fraction form
    2,876.54/4,313.73 = 2,267.42/x
  3. Step 3: Cross multiply
    2,876.54x = 4,313.73 × 2,267.42
  4. Step 4: Simplify right side
    2,876.54x = 9,781,037.68
  5. Step 5: Solve for x
    x = 9,781,037.68/2,876.54
  6. Step 6: Final answer
    x = 3,400.28

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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.