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Finding the Fourth Proportional to 2,541.53, 3,810.78 and 980.24

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Solution

The fourth proportional to 2,541.53, 3,810.78 and 980.24 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.53 : 3,810.78 = 980.24 : x
  2. Step 2: Convert to fraction form
    2,541.53/3,810.78 = 980.24/x
  3. Step 3: Cross multiply
    2,541.53x = 3,810.78 × 980.24
  4. Step 4: Simplify right side
    2,541.53x = 3,735,481.37
  5. Step 5: Solve for x
    x = 3,735,481.37/2,541.53
  6. Step 6: Final answer
    x = 1,469.78

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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.