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Finding the Fourth Proportional to 4,205.70, 6,303.15 and 1,742.22

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Solution

The fourth proportional to 4,205.70, 6,303.15 and 1,742.22 is: 2,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.70 : 6,303.15 = 1,742.22 : x
  2. Step 2: Convert to fraction form
    4,205.70/6,303.15 = 1,742.22/x
  3. Step 3: Cross multiply
    4,205.70x = 6,303.15 × 1,742.22
  4. Step 4: Simplify right side
    4,205.70x = 10,981,473.99
  5. Step 5: Solve for x
    x = 10,981,473.99/4,205.70
  6. Step 6: Final answer
    x = 2,611.09

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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.