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Finding the Fourth Proportional to 2,550.42, 3,518.64 and 1,605.96

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Solution

The fourth proportional to 2,550.42, 3,518.64 and 1,605.96 is: 2,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.42 : 3,518.64 = 1,605.96 : x
  2. Step 2: Convert to fraction form
    2,550.42/3,518.64 = 1,605.96/x
  3. Step 3: Cross multiply
    2,550.42x = 3,518.64 × 1,605.96
  4. Step 4: Simplify right side
    2,550.42x = 5,650,795.09
  5. Step 5: Solve for x
    x = 5,650,795.09/2,550.42
  6. Step 6: Final answer
    x = 2,215.63

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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.