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Finding the Fourth Proportional to 2,892.44, 3,976.78 and 2,354.60

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Solution

The fourth proportional to 2,892.44, 3,976.78 and 2,354.60 is: 3,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.44 : 3,976.78 = 2,354.60 : x
  2. Step 2: Convert to fraction form
    2,892.44/3,976.78 = 2,354.60/x
  3. Step 3: Cross multiply
    2,892.44x = 3,976.78 × 2,354.60
  4. Step 4: Simplify right side
    2,892.44x = 9,363,726.19
  5. Step 5: Solve for x
    x = 9,363,726.19/2,892.44
  6. Step 6: Final answer
    x = 3,237.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.