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Finding the Fourth Proportional to 3,044.73, 4,205.14 and 2,380.64

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Solution

The fourth proportional to 3,044.73, 4,205.14 and 2,380.64 is: 3,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.73 : 4,205.14 = 2,380.64 : x
  2. Step 2: Convert to fraction form
    3,044.73/4,205.14 = 2,380.64/x
  3. Step 3: Cross multiply
    3,044.73x = 4,205.14 × 2,380.64
  4. Step 4: Simplify right side
    3,044.73x = 10,010,897.51
  5. Step 5: Solve for x
    x = 10,010,897.51/3,044.73
  6. Step 6: Final answer
    x = 3,287.94

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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.