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Finding the Fourth Proportional to 2,654.88, 3,663.75 and 1,476.06

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Solution

The fourth proportional to 2,654.88, 3,663.75 and 1,476.06 is: 2,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.88 : 3,663.75 = 1,476.06 : x
  2. Step 2: Convert to fraction form
    2,654.88/3,663.75 = 1,476.06/x
  3. Step 3: Cross multiply
    2,654.88x = 3,663.75 × 1,476.06
  4. Step 4: Simplify right side
    2,654.88x = 5,407,914.83
  5. Step 5: Solve for x
    x = 5,407,914.83/2,654.88
  6. Step 6: Final answer
    x = 2,036.97

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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.