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Finding the Fourth Proportional to 2,067.22, 2,855.01 and 1,405.18

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Solution

The fourth proportional to 2,067.22, 2,855.01 and 1,405.18 is: 1,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.22 : 2,855.01 = 1,405.18 : x
  2. Step 2: Convert to fraction form
    2,067.22/2,855.01 = 1,405.18/x
  3. Step 3: Cross multiply
    2,067.22x = 2,855.01 × 1,405.18
  4. Step 4: Simplify right side
    2,067.22x = 4,011,802.95
  5. Step 5: Solve for x
    x = 4,011,802.95/2,067.22
  6. Step 6: Final answer
    x = 1,940.68

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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.