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Finding the Fourth Proportional to 1,611.66, 2,416.88 and 1,350.44

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Solution

The fourth proportional to 1,611.66, 2,416.88 and 1,350.44 is: 2,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.66 : 2,416.88 = 1,350.44 : x
  2. Step 2: Convert to fraction form
    1,611.66/2,416.88 = 1,350.44/x
  3. Step 3: Cross multiply
    1,611.66x = 2,416.88 × 1,350.44
  4. Step 4: Simplify right side
    1,611.66x = 3,263,832.59
  5. Step 5: Solve for x
    x = 3,263,832.59/1,611.66
  6. Step 6: Final answer
    x = 2,025.14

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Why These Related Problems?

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