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Finding the Fourth Proportional to 2,193.68, 3,286.20 and 1,829.36

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Solution

The fourth proportional to 2,193.68, 3,286.20 and 1,829.36 is: 2,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.68 : 3,286.20 = 1,829.36 : x
  2. Step 2: Convert to fraction form
    2,193.68/3,286.20 = 1,829.36/x
  3. Step 3: Cross multiply
    2,193.68x = 3,286.20 × 1,829.36
  4. Step 4: Simplify right side
    2,193.68x = 6,011,642.83
  5. Step 5: Solve for x
    x = 6,011,642.83/2,193.68
  6. Step 6: Final answer
    x = 2,740.44

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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.