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Finding the Fourth Proportional to 2,654.97, 3,663.81 and 1,476.03

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Solution

The fourth proportional to 2,654.97, 3,663.81 and 1,476.03 is: 2,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.97 : 3,663.81 = 1,476.03 : x
  2. Step 2: Convert to fraction form
    2,654.97/3,663.81 = 1,476.03/x
  3. Step 3: Cross multiply
    2,654.97x = 3,663.81 × 1,476.03
  4. Step 4: Simplify right side
    2,654.97x = 5,407,893.47
  5. Step 5: Solve for x
    x = 5,407,893.47/2,654.97
  6. Step 6: Final answer
    x = 2,036.89

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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.