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Finding the Fourth Proportional to 2,542.14, 3,811.41 and 980.82

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Solution

The fourth proportional to 2,542.14, 3,811.41 and 980.82 is: 1,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.14 : 3,811.41 = 980.82 : x
  2. Step 2: Convert to fraction form
    2,542.14/3,811.41 = 980.82/x
  3. Step 3: Cross multiply
    2,542.14x = 3,811.41 × 980.82
  4. Step 4: Simplify right side
    2,542.14x = 3,738,307.16
  5. Step 5: Solve for x
    x = 3,738,307.16/2,542.14
  6. Step 6: Final answer
    x = 1,470.54

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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.