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Finding the Fourth Proportional to 2,451.96, 3,384.18 and 1,611.18

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Solution

The fourth proportional to 2,451.96, 3,384.18 and 1,611.18 is: 2,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.96 : 3,384.18 = 1,611.18 : x
  2. Step 2: Convert to fraction form
    2,451.96/3,384.18 = 1,611.18/x
  3. Step 3: Cross multiply
    2,451.96x = 3,384.18 × 1,611.18
  4. Step 4: Simplify right side
    2,451.96x = 5,452,523.13
  5. Step 5: Solve for x
    x = 5,452,523.13/2,451.96
  6. Step 6: Final answer
    x = 2,223.74

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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.