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Finding the Fourth Proportional to 2,548.80, 3,820.41 and 1,314.59

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Solution

The fourth proportional to 2,548.80, 3,820.41 and 1,314.59 is: 1,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.80 : 3,820.41 = 1,314.59 : x
  2. Step 2: Convert to fraction form
    2,548.80/3,820.41 = 1,314.59/x
  3. Step 3: Cross multiply
    2,548.80x = 3,820.41 × 1,314.59
  4. Step 4: Simplify right side
    2,548.80x = 5,022,253.68
  5. Step 5: Solve for x
    x = 5,022,253.68/2,548.80
  6. Step 6: Final answer
    x = 1,970.44

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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.