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Finding the Fourth Proportional to 2,842.60, 3,927.78 and 2,324.20

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Solution

The fourth proportional to 2,842.60, 3,927.78 and 2,324.20 is: 3,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.60 : 3,927.78 = 2,324.20 : x
  2. Step 2: Convert to fraction form
    2,842.60/3,927.78 = 2,324.20/x
  3. Step 3: Cross multiply
    2,842.60x = 3,927.78 × 2,324.20
  4. Step 4: Simplify right side
    2,842.60x = 9,128,946.28
  5. Step 5: Solve for x
    x = 9,128,946.28/2,842.60
  6. Step 6: Final answer
    x = 3,211.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.