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Finding the Fourth Proportional to 6,801.80, 10,203.53 and 2,419.70

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Solution

The fourth proportional to 6,801.80, 10,203.53 and 2,419.70 is: 3,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.80 : 10,203.53 = 2,419.70 : x
  2. Step 2: Convert to fraction form
    6,801.80/10,203.53 = 2,419.70/x
  3. Step 3: Cross multiply
    6,801.80x = 10,203.53 × 2,419.70
  4. Step 4: Simplify right side
    6,801.80x = 24,689,418.42
  5. Step 5: Solve for x
    x = 24,689,418.42/6,801.80
  6. Step 6: Final answer
    x = 3,629.84

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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.