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Finding the Fourth Proportional to 2,855.41, 4,284.39 and 1,815.14

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Solution

The fourth proportional to 2,855.41, 4,284.39 and 1,815.14 is: 2,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.41 : 4,284.39 = 1,815.14 : x
  2. Step 2: Convert to fraction form
    2,855.41/4,284.39 = 1,815.14/x
  3. Step 3: Cross multiply
    2,855.41x = 4,284.39 × 1,815.14
  4. Step 4: Simplify right side
    2,855.41x = 7,776,767.66
  5. Step 5: Solve for x
    x = 7,776,767.66/2,855.41
  6. Step 6: Final answer
    x = 2,723.52

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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.