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Finding the Fourth Proportional to 2,654.89, 3,663.84 and 1,476.07

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Solution

The fourth proportional to 2,654.89, 3,663.84 and 1,476.07 is: 2,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.89 : 3,663.84 = 1,476.07 : x
  2. Step 2: Convert to fraction form
    2,654.89/3,663.84 = 1,476.07/x
  3. Step 3: Cross multiply
    2,654.89x = 3,663.84 × 1,476.07
  4. Step 4: Simplify right side
    2,654.89x = 5,408,084.31
  5. Step 5: Solve for x
    x = 5,408,084.31/2,654.89
  6. Step 6: Final answer
    x = 2,037.03

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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.