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Finding the Fourth Proportional to 2,654.72, 3,655.04 and 2,305.28

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Solution

The fourth proportional to 2,654.72, 3,655.04 and 2,305.28 is: 3,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.72 : 3,655.04 = 2,305.28 : x
  2. Step 2: Convert to fraction form
    2,654.72/3,655.04 = 2,305.28/x
  3. Step 3: Cross multiply
    2,654.72x = 3,655.04 × 2,305.28
  4. Step 4: Simplify right side
    2,654.72x = 8,425,890.61
  5. Step 5: Solve for x
    x = 8,425,890.61/2,654.72
  6. Step 6: Final answer
    x = 3,173.93

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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.