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Finding the Fourth Proportional to 2,855, 3,940.44 and 1,613

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Solution

The fourth proportional to 2,855, 3,940.44 and 1,613 is: 2,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855 : 3,940.44 = 1,613 : x
  2. Step 2: Convert to fraction form
    2,855/3,940.44 = 1,613/x
  3. Step 3: Cross multiply
    2,855x = 3,940.44 × 1,613
  4. Step 4: Simplify right side
    2,855x = 6,355,929.72
  5. Step 5: Solve for x
    x = 6,355,929.72/2,855
  6. Step 6: Final answer
    x = 2,226.25

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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.