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Finding the Fourth Proportional to 3,254.67, 4,492.17 and 2,311.83

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Solution

The fourth proportional to 3,254.67, 4,492.17 and 2,311.83 is: 3,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.67 : 4,492.17 = 2,311.83 : x
  2. Step 2: Convert to fraction form
    3,254.67/4,492.17 = 2,311.83/x
  3. Step 3: Cross multiply
    3,254.67x = 4,492.17 × 2,311.83
  4. Step 4: Simplify right side
    3,254.67x = 10,385,133.37
  5. Step 5: Solve for x
    x = 10,385,133.37/3,254.67
  6. Step 6: Final answer
    x = 3,190.84

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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.