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Finding the Fourth Proportional to 2,654.07, 3,663.83 and 2,096.84

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Solution

The fourth proportional to 2,654.07, 3,663.83 and 2,096.84 is: 2,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.07 : 3,663.83 = 2,096.84 : x
  2. Step 2: Convert to fraction form
    2,654.07/3,663.83 = 2,096.84/x
  3. Step 3: Cross multiply
    2,654.07x = 3,663.83 × 2,096.84
  4. Step 4: Simplify right side
    2,654.07x = 7,682,459.09
  5. Step 5: Solve for x
    x = 7,682,459.09/2,654.07
  6. Step 6: Final answer
    x = 2,894.60

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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.