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Finding the Fourth Proportional to 2,354.73, 3,249.89 and 1,693.77

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Solution

The fourth proportional to 2,354.73, 3,249.89 and 1,693.77 is: 2,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.73 : 3,249.89 = 1,693.77 : x
  2. Step 2: Convert to fraction form
    2,354.73/3,249.89 = 1,693.77/x
  3. Step 3: Cross multiply
    2,354.73x = 3,249.89 × 1,693.77
  4. Step 4: Simplify right side
    2,354.73x = 5,504,541.47
  5. Step 5: Solve for x
    x = 5,504,541.47/2,354.73
  6. Step 6: Final answer
    x = 2,337.66

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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.