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Finding the Fourth Proportional to 2,647.99, 3,654.05 and 1,468.97

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Solution

The fourth proportional to 2,647.99, 3,654.05 and 1,468.97 is: 2,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.99 : 3,654.05 = 1,468.97 : x
  2. Step 2: Convert to fraction form
    2,647.99/3,654.05 = 1,468.97/x
  3. Step 3: Cross multiply
    2,647.99x = 3,654.05 × 1,468.97
  4. Step 4: Simplify right side
    2,647.99x = 5,367,677.92
  5. Step 5: Solve for x
    x = 5,367,677.92/2,647.99
  6. Step 6: Final answer
    x = 2,027.08

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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.