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Finding the Fourth Proportional to 2,654.97, 3,664.07 and 1,476.33

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Solution

The fourth proportional to 2,654.97, 3,664.07 and 1,476.33 is: 2,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.97 : 3,664.07 = 1,476.33 : x
  2. Step 2: Convert to fraction form
    2,654.97/3,664.07 = 1,476.33/x
  3. Step 3: Cross multiply
    2,654.97x = 3,664.07 × 1,476.33
  4. Step 4: Simplify right side
    2,654.97x = 5,409,369.08
  5. Step 5: Solve for x
    x = 5,409,369.08/2,654.97
  6. Step 6: Final answer
    x = 2,037.45

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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.