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Finding the Fourth Proportional to 3,102.84, 4,654.26 and 1,371.12

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Solution

The fourth proportional to 3,102.84, 4,654.26 and 1,371.12 is: 2,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,654.26 = 1,371.12 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,654.26 = 1,371.12/x
  3. Step 3: Cross multiply
    3,102.84x = 4,654.26 × 1,371.12
  4. Step 4: Simplify right side
    3,102.84x = 6,381,548.97
  5. Step 5: Solve for x
    x = 6,381,548.97/3,102.84
  6. Step 6: Final answer
    x = 2,056.68

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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.