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Finding the Fourth Proportional to 3,274.32, 4,517.40 and 2,014.92

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Solution

The fourth proportional to 3,274.32, 4,517.40 and 2,014.92 is: 2,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.32 : 4,517.40 = 2,014.92 : x
  2. Step 2: Convert to fraction form
    3,274.32/4,517.40 = 2,014.92/x
  3. Step 3: Cross multiply
    3,274.32x = 4,517.40 × 2,014.92
  4. Step 4: Simplify right side
    3,274.32x = 9,102,199.61
  5. Step 5: Solve for x
    x = 9,102,199.61/3,274.32
  6. Step 6: Final answer
    x = 2,779.87

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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.