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Finding the Fourth Proportional to 2,647.94, 3,654.33 and 1,529.09

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Solution

The fourth proportional to 2,647.94, 3,654.33 and 1,529.09 is: 2,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.94 : 3,654.33 = 1,529.09 : x
  2. Step 2: Convert to fraction form
    2,647.94/3,654.33 = 1,529.09/x
  3. Step 3: Cross multiply
    2,647.94x = 3,654.33 × 1,529.09
  4. Step 4: Simplify right side
    2,647.94x = 5,587,775.45
  5. Step 5: Solve for x
    x = 5,587,775.45/2,647.94
  6. Step 6: Final answer
    x = 2,110.23

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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.