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Finding the Fourth Proportional to 2,855.59, 3,940.68 and 1,596.63

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Solution

The fourth proportional to 2,855.59, 3,940.68 and 1,596.63 is: 2,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.59 : 3,940.68 = 1,596.63 : x
  2. Step 2: Convert to fraction form
    2,855.59/3,940.68 = 1,596.63/x
  3. Step 3: Cross multiply
    2,855.59x = 3,940.68 × 1,596.63
  4. Step 4: Simplify right side
    2,855.59x = 6,291,806.51
  5. Step 5: Solve for x
    x = 6,291,806.51/2,855.59
  6. Step 6: Final answer
    x = 2,203.33

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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.