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Finding the Fourth Proportional to 2,147.84, 3,207.40 and 1,836.44

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Solution

The fourth proportional to 2,147.84, 3,207.40 and 1,836.44 is: 2,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.84 : 3,207.40 = 1,836.44 : x
  2. Step 2: Convert to fraction form
    2,147.84/3,207.40 = 1,836.44/x
  3. Step 3: Cross multiply
    2,147.84x = 3,207.40 × 1,836.44
  4. Step 4: Simplify right side
    2,147.84x = 5,890,197.66
  5. Step 5: Solve for x
    x = 5,890,197.66/2,147.84
  6. Step 6: Final answer
    x = 2,742.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.