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Finding the Fourth Proportional to 2,654.40, 3,663.72 and 1,606.80

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Solution

The fourth proportional to 2,654.40, 3,663.72 and 1,606.80 is: 2,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.40 : 3,663.72 = 1,606.80 : x
  2. Step 2: Convert to fraction form
    2,654.40/3,663.72 = 1,606.80/x
  3. Step 3: Cross multiply
    2,654.40x = 3,663.72 × 1,606.80
  4. Step 4: Simplify right side
    2,654.40x = 5,886,865.30
  5. Step 5: Solve for x
    x = 5,886,865.30/2,654.40
  6. Step 6: Final answer
    x = 2,217.78

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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.