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Finding the Fourth Proportional to 2,763.52, 3,812.48 and 1,978.72

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Solution

The fourth proportional to 2,763.52, 3,812.48 and 1,978.72 is: 2,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.52 : 3,812.48 = 1,978.72 : x
  2. Step 2: Convert to fraction form
    2,763.52/3,812.48 = 1,978.72/x
  3. Step 3: Cross multiply
    2,763.52x = 3,812.48 × 1,978.72
  4. Step 4: Simplify right side
    2,763.52x = 7,543,830.43
  5. Step 5: Solve for x
    x = 7,543,830.43/2,763.52
  6. Step 6: Final answer
    x = 2,729.79

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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.