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Finding the Fourth Proportional to 3,102.44, 4,654.34 and 1,717.80

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Solution

The fourth proportional to 3,102.44, 4,654.34 and 1,717.80 is: 2,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.44 : 4,654.34 = 1,717.80 : x
  2. Step 2: Convert to fraction form
    3,102.44/4,654.34 = 1,717.80/x
  3. Step 3: Cross multiply
    3,102.44x = 4,654.34 × 1,717.80
  4. Step 4: Simplify right side
    3,102.44x = 7,995,225.25
  5. Step 5: Solve for x
    x = 7,995,225.25/3,102.44
  6. Step 6: Final answer
    x = 2,577.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.